Finding the Fourth Proportional to 2,626.80, 3,916.38 and 2,558.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,626.80 : 3,916.38 = 2,558.40 : x
2. Step 2: Convert to fraction form
   2,626.80/3,916.38 = 2,558.40/x
3. Step 3: Cross multiply
   2,626.80x = 3,916.38 × 2,558.40
4. Step 4: Simplify right side
   2,626.80x = 10,019,666.59
5. Step 5: Solve for x
   x = 10,019,666.59/2,626.80
6. Step 6: Final answer
   x = 3,814.40