Finding the Fourth Proportional to 9,522.64, 14,281.20 and 3,677.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,522.64 : 14,281.20 = 3,677.92 : x
2. Step 2: Convert to fraction form
   9,522.64/14,281.20 = 3,677.92/x
3. Step 3: Cross multiply
   9,522.64x = 14,281.20 × 3,677.92
4. Step 4: Simplify right side
   9,522.64x = 52,525,111.10
5. Step 5: Solve for x
   x = 52,525,111.10/9,522.64
6. Step 6: Final answer
   x = 5,515.81