Finding the Fourth Proportional to 2,559.92, 3,838.12 and 916.43

Step by Step Solution

1. Step 1: Write the proportion equation
   2,559.92 : 3,838.12 = 916.43 : x
2. Step 2: Convert to fraction form
   2,559.92/3,838.12 = 916.43/x
3. Step 3: Cross multiply
   2,559.92x = 3,838.12 × 916.43
4. Step 4: Simplify right side
   2,559.92x = 3,517,346.83
5. Step 5: Solve for x
   x = 3,517,346.83/2,559.92
6. Step 6: Final answer
   x = 1,374.01