Finding the Fourth Proportional to 10,446.27, 14,415.75 and 5,730.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,446.27 : 14,415.75 = 5,730.60 : x
2. Step 2: Convert to fraction form
   10,446.27/14,415.75 = 5,730.60/x
3. Step 3: Cross multiply
   10,446.27x = 14,415.75 × 5,730.60
4. Step 4: Simplify right side
   10,446.27x = 82,610,896.95
5. Step 5: Solve for x
   x = 82,610,896.95/10,446.27
6. Step 6: Final answer
   x = 7,908.17