Finding the Fourth Proportional to 686,141.28, 946,924.83 and 414,275.31

Step by Step Solution

1. Step 1: Write the proportion equation
   686,141.28 : 946,924.83 = 414,275.31 : x
2. Step 2: Convert to fraction form
   686,141.28/946,924.83 = 414,275.31/x
3. Step 3: Cross multiply
   686,141.28x = 946,924.83 × 414,275.31
4. Step 4: Simplify right side
   686,141.28x = 392,287,577,494.95
5. Step 5: Solve for x
   x = 392,287,577,494.95/686,141.28
6. Step 6: Final answer
   x = 571,730.03