Finding the Fourth Proportional to 9,100.65, 12,561.28 and 5,566.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,100.65 : 12,561.28 = 5,566.83 : x
2. Step 2: Convert to fraction form
   9,100.65/12,561.28 = 5,566.83/x
3. Step 3: Cross multiply
   9,100.65x = 12,561.28 × 5,566.83
4. Step 4: Simplify right side
   9,100.65x = 69,926,449.32
5. Step 5: Solve for x
   x = 69,926,449.32/9,100.65
6. Step 6: Final answer
   x = 7,683.67