Finding the Fourth Proportional to 10,507.32, 14,500.27 and 5,791.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,507.32 : 14,500.27 = 5,791.60 : x
2. Step 2: Convert to fraction form
   10,507.32/14,500.27 = 5,791.60/x
3. Step 3: Cross multiply
   10,507.32x = 14,500.27 × 5,791.60
4. Step 4: Simplify right side
   10,507.32x = 83,979,756.52
5. Step 5: Solve for x
   x = 83,979,756.52/10,507.32
6. Step 6: Final answer
   x = 7,992.50