Finding the Fourth Proportional to 9,116.80, 12,584.28 and 5,670.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116.80 : 12,584.28 = 5,670.08 : x
2. Step 2: Convert to fraction form
   9,116.80/12,584.28 = 5,670.08/x
3. Step 3: Cross multiply
   9,116.80x = 12,584.28 × 5,670.08
4. Step 4: Simplify right side
   9,116.80x = 71,353,874.34
5. Step 5: Solve for x
   x = 71,353,874.34/9,116.80
6. Step 6: Final answer
   x = 7,826.64