Finding the Fourth Proportional to 2,006.71, 2,770.37 and 1,377.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,006.71 : 2,770.37 = 1,377.61 : x
2. Step 2: Convert to fraction form
   2,006.71/2,770.37 = 1,377.61/x
3. Step 3: Cross multiply
   2,006.71x = 2,770.37 × 1,377.61
4. Step 4: Simplify right side
   2,006.71x = 3,816,480.77
5. Step 5: Solve for x
   x = 3,816,480.77/2,006.71
6. Step 6: Final answer
   x = 1,901.86