Finding the Fourth Proportional to 12,002.08, 17,977.12 and 7,608.64

Step by Step Solution

1. Step 1: Write the proportion equation
   12,002.08 : 17,977.12 = 7,608.64 : x
2. Step 2: Convert to fraction form
   12,002.08/17,977.12 = 7,608.64/x
3. Step 3: Cross multiply
   12,002.08x = 17,977.12 × 7,608.64
4. Step 4: Simplify right side
   12,002.08x = 136,781,434.32
5. Step 5: Solve for x
   x = 136,781,434.32/12,002.08
6. Step 6: Final answer
   x = 11,396.48