Finding the Fourth Proportional to 2,377.64, 3,280.34 and 1,539.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,377.64 : 3,280.34 = 1,539.41 : x
2. Step 2: Convert to fraction form
   2,377.64/3,280.34 = 1,539.41/x
3. Step 3: Cross multiply
   2,377.64x = 3,280.34 × 1,539.41
4. Step 4: Simplify right side
   2,377.64x = 5,049,764.10
5. Step 5: Solve for x
   x = 5,049,764.10/2,377.64
6. Step 6: Final answer
   x = 2,123.86