Finding the Fourth Proportional to 6,416.34, 8,854.71 and 3,762.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,416.34 : 8,854.71 = 3,762.78 : x
2. Step 2: Convert to fraction form
   6,416.34/8,854.71 = 3,762.78/x
3. Step 3: Cross multiply
   6,416.34x = 8,854.71 × 3,762.78
4. Step 4: Simplify right side
   6,416.34x = 33,318,325.69
5. Step 5: Solve for x
   x = 33,318,325.69/6,416.34
6. Step 6: Final answer
   x = 5,192.73