Finding the Fourth Proportional to 10,507.50, 14,500.35 and 5,792.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,507.50 : 14,500.35 = 5,792.09 : x
2. Step 2: Convert to fraction form
   10,507.50/14,500.35 = 5,792.09/x
3. Step 3: Cross multiply
   10,507.50x = 14,500.35 × 5,792.09
4. Step 4: Simplify right side
   10,507.50x = 83,987,259.73
5. Step 5: Solve for x
   x = 83,987,259.73/10,507.50
6. Step 6: Final answer
   x = 7,993.08