Finding the Fourth Proportional to 10,507.77, 14,500.77 and 5,792.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,507.77 : 14,500.77 = 5,792.37 : x
2. Step 2: Convert to fraction form
   10,507.77/14,500.77 = 5,792.37/x
3. Step 3: Cross multiply
   10,507.77x = 14,500.77 × 5,792.37
4. Step 4: Simplify right side
   10,507.77x = 83,993,825.12
5. Step 5: Solve for x
   x = 83,993,825.12/10,507.77
6. Step 6: Final answer
   x = 7,993.50