Finding the Fourth Proportional to 9,105.82, 12,566.75 and 5,127.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,105.82 : 12,566.75 = 5,127.30 : x
2. Step 2: Convert to fraction form
   9,105.82/12,566.75 = 5,127.30/x
3. Step 3: Cross multiply
   9,105.82x = 12,566.75 × 5,127.30
4. Step 4: Simplify right side
   9,105.82x = 64,433,471.64
5. Step 5: Solve for x
   x = 64,433,471.64/9,105.82
6. Step 6: Final answer
   x = 7,076.08