Finding the Fourth Proportional to 10,354.29, 14,288.47 and 5,877.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354.29 : 14,288.47 = 5,877.96 : x
2. Step 2: Convert to fraction form
   10,354.29/14,288.47 = 5,877.96/x
3. Step 3: Cross multiply
   10,354.29x = 14,288.47 × 5,877.96
4. Step 4: Simplify right side
   10,354.29x = 83,987,055.12
5. Step 5: Solve for x
   x = 83,987,055.12/10,354.29
6. Step 6: Final answer
   x = 8,111.33