Finding the Fourth Proportional to 3,674.80, 5,071.71 and 2,102.59

Step by Step Solution

1. Step 1: Write the proportion equation
   3,674.80 : 5,071.71 = 2,102.59 : x
2. Step 2: Convert to fraction form
   3,674.80/5,071.71 = 2,102.59/x
3. Step 3: Cross multiply
   3,674.80x = 5,071.71 × 2,102.59
4. Step 4: Simplify right side
   3,674.80x = 10,663,726.73
5. Step 5: Solve for x
   x = 10,663,726.73/3,674.80
6. Step 6: Final answer
   x = 2,901.85