Finding the Fourth Proportional to 1,275.69, 1,913.52 and 410.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,275.69 : 1,913.52 = 410.01 : x
2. Step 2: Convert to fraction form
   1,275.69/1,913.52 = 410.01/x
3. Step 3: Cross multiply
   1,275.69x = 1,913.52 × 410.01
4. Step 4: Simplify right side
   1,275.69x = 784,556.70
5. Step 5: Solve for x
   x = 784,556.70/1,275.69
6. Step 6: Final answer
   x = 615.00