Finding the Fourth Proportional to 6,257.86, 8,642.31 and 5,414.52

Step by Step Solution

1. Step 1: Write the proportion equation
   6,257.86 : 8,642.31 = 5,414.52 : x
2. Step 2: Convert to fraction form
   6,257.86/8,642.31 = 5,414.52/x
3. Step 3: Cross multiply
   6,257.86x = 8,642.31 × 5,414.52
4. Step 4: Simplify right side
   6,257.86x = 46,793,960.34
5. Step 5: Solve for x
   x = 46,793,960.34/6,257.86
6. Step 6: Final answer
   x = 7,477.63