Finding the Fourth Proportional to 10,507.20, 14,500.08 and 5,791.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,507.20 : 14,500.08 = 5,791.38 : x
2. Step 2: Convert to fraction form
   10,507.20/14,500.08 = 5,791.38/x
3. Step 3: Cross multiply
   10,507.20x = 14,500.08 × 5,791.38
4. Step 4: Simplify right side
   10,507.20x = 83,975,473.31
5. Step 5: Solve for x
   x = 83,975,473.31/10,507.20
6. Step 6: Final answer
   x = 7,992.18