Finding the Fourth Proportional to 10,507.68, 14,500.64 and 5,791.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,507.68 : 14,500.64 = 5,791.96 : x
2. Step 2: Convert to fraction form
   10,507.68/14,500.64 = 5,791.96/x
3. Step 3: Cross multiply
   10,507.68x = 14,500.64 × 5,791.96
4. Step 4: Simplify right side
   10,507.68x = 83,987,126.85
5. Step 5: Solve for x
   x = 83,987,126.85/10,507.68
6. Step 6: Final answer
   x = 7,992.93