Finding the Fourth Proportional to 10,523.14, 14,521.32 and 5,807.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,523.14 : 14,521.32 = 5,807.42 : x
2. Step 2: Convert to fraction form
   10,523.14/14,521.32 = 5,807.42/x
3. Step 3: Cross multiply
   10,523.14x = 14,521.32 × 5,807.42
4. Step 4: Simplify right side
   10,523.14x = 84,331,404.19
5. Step 5: Solve for x
   x = 84,331,404.19/10,523.14
6. Step 6: Final answer
   x = 8,013.90