Finding the Fourth Proportional to 3,766.41, 5,200.84 and 2,649.83

Step by Step Solution

1. Step 1: Write the proportion equation
   3,766.41 : 5,200.84 = 2,649.83 : x
2. Step 2: Convert to fraction form
   3,766.41/5,200.84 = 2,649.83/x
3. Step 3: Cross multiply
   3,766.41x = 5,200.84 × 2,649.83
4. Step 4: Simplify right side
   3,766.41x = 13,781,319.17
5. Step 5: Solve for x
   x = 13,781,319.17/3,766.41
6. Step 6: Final answer
   x = 3,659.01