Finding the Fourth Proportional to 10,507.75, 14,500.79 and 5,792.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,507.75 : 14,500.79 = 5,792.20 : x
2. Step 2: Convert to fraction form
   10,507.75/14,500.79 = 5,792.20/x
3. Step 3: Cross multiply
   10,507.75x = 14,500.79 × 5,792.20
4. Step 4: Simplify right side
   10,507.75x = 83,991,432.35
5. Step 5: Solve for x
   x = 83,991,432.35/10,507.75
6. Step 6: Final answer
   x = 7,993.29