Finding the Fourth Proportional to 1,026.38, 1,540.02 and 377.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.38 : 1,540.02 = 377.30 : x
2. Step 2: Convert to fraction form
   1,026.38/1,540.02 = 377.30/x
3. Step 3: Cross multiply
   1,026.38x = 1,540.02 × 377.30
4. Step 4: Simplify right side
   1,026.38x = 581,049.55
5. Step 5: Solve for x
   x = 581,049.55/1,026.38
6. Step 6: Final answer
   x = 566.12