Finding the Fourth Proportional to 6,414.06, 8,852.61 and 3,761.47

Step by Step Solution

1. Step 1: Write the proportion equation
   6,414.06 : 8,852.61 = 3,761.47 : x
2. Step 2: Convert to fraction form
   6,414.06/8,852.61 = 3,761.47/x
3. Step 3: Cross multiply
   6,414.06x = 8,852.61 × 3,761.47
4. Step 4: Simplify right side
   6,414.06x = 33,298,826.94
5. Step 5: Solve for x
   x = 33,298,826.94/6,414.06
6. Step 6: Final answer
   x = 5,191.54