Finding the Fourth Proportional to 2,557.59, 3,829.01 and 1,500.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.59 : 3,829.01 = 1,500.20 : x
2. Step 2: Convert to fraction form
   2,557.59/3,829.01 = 1,500.20/x
3. Step 3: Cross multiply
   2,557.59x = 3,829.01 × 1,500.20
4. Step 4: Simplify right side
   2,557.59x = 5,744,280.80
5. Step 5: Solve for x
   x = 5,744,280.80/2,557.59
6. Step 6: Final answer
   x = 2,245.97