Finding the Fourth Proportional to 10,507.64, 14,500.50 and 5,792

Step by Step Solution

1. Step 1: Write the proportion equation
   10,507.64 : 14,500.50 = 5,792 : x
2. Step 2: Convert to fraction form
   10,507.64/14,500.50 = 5,792/x
3. Step 3: Cross multiply
   10,507.64x = 14,500.50 × 5,792
4. Step 4: Simplify right side
   10,507.64x = 83,986,896
5. Step 5: Solve for x
   x = 83,986,896/10,507.64
6. Step 6: Final answer
   x = 7,992.94