Finding the Fourth Proportional to 10,507.29, 14,500.06 and 5,791.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,507.29 : 14,500.06 = 5,791.65 : x
2. Step 2: Convert to fraction form
   10,507.29/14,500.06 = 5,791.65/x
3. Step 3: Cross multiply
   10,507.29x = 14,500.06 × 5,791.65
4. Step 4: Simplify right side
   10,507.29x = 83,979,258.02
5. Step 5: Solve for x
   x = 83,979,258.02/10,507.29
6. Step 6: Final answer
   x = 7,992.48