Finding the Fourth Proportional to 9,002.16, 12,419.28 and 5,464.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,002.16 : 12,419.28 = 5,464.80 : x
2. Step 2: Convert to fraction form
   9,002.16/12,419.28 = 5,464.80/x
3. Step 3: Cross multiply
   9,002.16x = 12,419.28 × 5,464.80
4. Step 4: Simplify right side
   9,002.16x = 67,868,881.34
5. Step 5: Solve for x
   x = 67,868,881.34/9,002.16
6. Step 6: Final answer
   x = 7,539.18