Finding the Fourth Proportional to 3,658.64, 5,488.24 and 1,061.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,658.64 : 5,488.24 = 1,061.78 : x
2. Step 2: Convert to fraction form
   3,658.64/5,488.24 = 1,061.78/x
3. Step 3: Cross multiply
   3,658.64x = 5,488.24 × 1,061.78
4. Step 4: Simplify right side
   3,658.64x = 5,827,303.47
5. Step 5: Solve for x
   x = 5,827,303.47/3,658.64
6. Step 6: Final answer
   x = 1,592.75