Finding the Fourth Proportional to 6,314.47, 8,713.63 and 3,625.83

Step by Step Solution

1. Step 1: Write the proportion equation
   6,314.47 : 8,713.63 = 3,625.83 : x
2. Step 2: Convert to fraction form
   6,314.47/8,713.63 = 3,625.83/x
3. Step 3: Cross multiply
   6,314.47x = 8,713.63 × 3,625.83
4. Step 4: Simplify right side
   6,314.47x = 31,594,079.37
5. Step 5: Solve for x
   x = 31,594,079.37/6,314.47
6. Step 6: Final answer
   x = 5,003.44