Finding the Fourth Proportional to 6,407.57, 8,842.43 and 3,613.05

Step by Step Solution

1. Step 1: Write the proportion equation
   6,407.57 : 8,842.43 = 3,613.05 : x
2. Step 2: Convert to fraction form
   6,407.57/8,842.43 = 3,613.05/x
3. Step 3: Cross multiply
   6,407.57x = 8,842.43 × 3,613.05
4. Step 4: Simplify right side
   6,407.57x = 31,948,141.71
5. Step 5: Solve for x
   x = 31,948,141.71/6,407.57
6. Step 6: Final answer
   x = 4,986.00