Finding the Fourth Proportional to 3,659, 5,488.50 and 1,061.96

Step by Step Solution

1. Step 1: Write the proportion equation
   3,659 : 5,488.50 = 1,061.96 : x
2. Step 2: Convert to fraction form
   3,659/5,488.50 = 1,061.96/x
3. Step 3: Cross multiply
   3,659x = 5,488.50 × 1,061.96
4. Step 4: Simplify right side
   3,659x = 5,828,567.46
5. Step 5: Solve for x
   x = 5,828,567.46/3,659
6. Step 6: Final answer
   x = 1,592.94