Finding the Fourth Proportional to 4,002.50, 5,522.69 and 2,323.77

Step by Step Solution

1. Step 1: Write the proportion equation
   4,002.50 : 5,522.69 = 2,323.77 : x
2. Step 2: Convert to fraction form
   4,002.50/5,522.69 = 2,323.77/x
3. Step 3: Cross multiply
   4,002.50x = 5,522.69 × 2,323.77
4. Step 4: Simplify right side
   4,002.50x = 12,833,449.72
5. Step 5: Solve for x
   x = 12,833,449.72/4,002.50
6. Step 6: Final answer
   x = 3,206.36