Finding the Fourth Proportional to 5,729.13, 8,587.62 and 3,642.57

Step by Step Solution

1. Step 1: Write the proportion equation
   5,729.13 : 8,587.62 = 3,642.57 : x
2. Step 2: Convert to fraction form
   5,729.13/8,587.62 = 3,642.57/x
3. Step 3: Cross multiply
   5,729.13x = 8,587.62 × 3,642.57
4. Step 4: Simplify right side
   5,729.13x = 31,281,006.98
5. Step 5: Solve for x
   x = 31,281,006.98/5,729.13
6. Step 6: Final answer
   x = 5,459.99