Finding the Fourth Proportional to 4,002.06, 5,521.59 and 2,586.53

Step by Step Solution

1. Step 1: Write the proportion equation
   4,002.06 : 5,521.59 = 2,586.53 : x
2. Step 2: Convert to fraction form
   4,002.06/5,521.59 = 2,586.53/x
3. Step 3: Cross multiply
   4,002.06x = 5,521.59 × 2,586.53
4. Step 4: Simplify right side
   4,002.06x = 14,281,730.57
5. Step 5: Solve for x
   x = 14,281,730.57/4,002.06
6. Step 6: Final answer
   x = 3,568.59