Finding the Fourth Proportional to 1,025.57, 1,537.42 and 376.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.57 : 1,537.42 = 376.15 : x
2. Step 2: Convert to fraction form
   1,025.57/1,537.42 = 376.15/x
3. Step 3: Cross multiply
   1,025.57x = 1,537.42 × 376.15
4. Step 4: Simplify right side
   1,025.57x = 578,300.53
5. Step 5: Solve for x
   x = 578,300.53/1,025.57
6. Step 6: Final answer
   x = 563.88