Finding the Fourth Proportional to 3,658.76, 5,488.46 and 1,026.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,658.76 : 5,488.46 = 1,026.31 : x
2. Step 2: Convert to fraction form
   3,658.76/5,488.46 = 1,026.31/x
3. Step 3: Cross multiply
   3,658.76x = 5,488.46 × 1,026.31
4. Step 4: Simplify right side
   3,658.76x = 5,632,861.38
5. Step 5: Solve for x
   x = 5,632,861.38/3,658.76
6. Step 6: Final answer
   x = 1,539.55