Finding the Fourth Proportional to 9,002.28, 12,422.84 and 5,646.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,002.28 : 12,422.84 = 5,646.98 : x
2. Step 2: Convert to fraction form
   9,002.28/12,422.84 = 5,646.98/x
3. Step 3: Cross multiply
   9,002.28x = 12,422.84 × 5,646.98
4. Step 4: Simplify right side
   9,002.28x = 70,151,529.02
5. Step 5: Solve for x
   x = 70,151,529.02/9,002.28
6. Step 6: Final answer
   x = 7,792.64