Finding the Fourth Proportional to 1,026.37, 1,540.37 and 377.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.37 : 1,540.37 = 377.29 : x
2. Step 2: Convert to fraction form
   1,026.37/1,540.37 = 377.29/x
3. Step 3: Cross multiply
   1,026.37x = 1,540.37 × 377.29
4. Step 4: Simplify right side
   1,026.37x = 581,164.31
5. Step 5: Solve for x
   x = 581,164.31/1,026.37
6. Step 6: Final answer
   x = 566.23