Finding the Fourth Proportional to 9,166.52, 12,656.34 and 5,630.90

Step by Step Solution

1. Step 1: Write the proportion equation
   9,166.52 : 12,656.34 = 5,630.90 : x
2. Step 2: Convert to fraction form
   9,166.52/12,656.34 = 5,630.90/x
3. Step 3: Cross multiply
   9,166.52x = 12,656.34 × 5,630.90
4. Step 4: Simplify right side
   9,166.52x = 71,266,584.91
5. Step 5: Solve for x
   x = 71,266,584.91/9,166.52
6. Step 6: Final answer
   x = 7,774.66