Finding the Fourth Proportional to 9,142.39, 13,710.86 and 3,877.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,142.39 : 13,710.86 = 3,877.32 : x
2. Step 2: Convert to fraction form
   9,142.39/13,710.86 = 3,877.32/x
3. Step 3: Cross multiply
   9,142.39x = 13,710.86 × 3,877.32
4. Step 4: Simplify right side
   9,142.39x = 53,161,303.75
5. Step 5: Solve for x
   x = 53,161,303.75/9,142.39
6. Step 6: Final answer
   x = 5,814.82