Finding the Fourth Proportional to 1,025.37, 1,538.06 and 376.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.37 : 1,538.06 = 376.10 : x
2. Step 2: Convert to fraction form
   1,025.37/1,538.06 = 376.10/x
3. Step 3: Cross multiply
   1,025.37x = 1,538.06 × 376.10
4. Step 4: Simplify right side
   1,025.37x = 578,464.89
5. Step 5: Solve for x
   x = 578,464.89/1,025.37
6. Step 6: Final answer
   x = 564.15