Finding the Fourth Proportional to 9,105.56, 12,566.80 and 5,127.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,105.56 : 12,566.80 = 5,127.42 : x
2. Step 2: Convert to fraction form
   9,105.56/12,566.80 = 5,127.42/x
3. Step 3: Cross multiply
   9,105.56x = 12,566.80 × 5,127.42
4. Step 4: Simplify right side
   9,105.56x = 64,435,261.66
5. Step 5: Solve for x
   x = 64,435,261.66/9,105.56
6. Step 6: Final answer
   x = 7,076.47