Finding the Fourth Proportional to 9,178.88, 12,667.12 and 5,644.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,178.88 : 12,667.12 = 5,644.16 : x
2. Step 2: Convert to fraction form
   9,178.88/12,667.12 = 5,644.16/x
3. Step 3: Cross multiply
   9,178.88x = 12,667.12 × 5,644.16
4. Step 4: Simplify right side
   9,178.88x = 71,495,252.02
5. Step 5: Solve for x
   x = 71,495,252.02/9,178.88
6. Step 6: Final answer
   x = 7,789.10