Finding the Fourth Proportional to 10,431.42, 14,395.71 and 5,715.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,431.42 : 14,395.71 = 5,715.66 : x
2. Step 2: Convert to fraction form
   10,431.42/14,395.71 = 5,715.66/x
3. Step 3: Cross multiply
   10,431.42x = 14,395.71 × 5,715.66
4. Step 4: Simplify right side
   10,431.42x = 82,280,983.82
5. Step 5: Solve for x
   x = 82,280,983.82/10,431.42
6. Step 6: Final answer
   x = 7,887.80