Finding the Fourth Proportional to 10,507.80, 14,500.69 and 5,792.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,507.80 : 14,500.69 = 5,792.08 : x
2. Step 2: Convert to fraction form
   10,507.80/14,500.69 = 5,792.08/x
3. Step 3: Cross multiply
   10,507.80x = 14,500.69 × 5,792.08
4. Step 4: Simplify right side
   10,507.80x = 83,989,156.54
5. Step 5: Solve for x
   x = 83,989,156.54/10,507.80
6. Step 6: Final answer
   x = 7,993.03