Finding the Fourth Proportional to 2,377.40, 3,565.83 and 916.43

Step by Step Solution

1. Step 1: Write the proportion equation
   2,377.40 : 3,565.83 = 916.43 : x
2. Step 2: Convert to fraction form
   2,377.40/3,565.83 = 916.43/x
3. Step 3: Cross multiply
   2,377.40x = 3,565.83 × 916.43
4. Step 4: Simplify right side
   2,377.40x = 3,267,833.59
5. Step 5: Solve for x
   x = 3,267,833.59/2,377.40
6. Step 6: Final answer
   x = 1,374.54