Finding the Fourth Proportional to 9,105.64, 12,566.98 and 5,127.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,105.64 : 12,566.98 = 5,127.53 : x
2. Step 2: Convert to fraction form
   9,105.64/12,566.98 = 5,127.53/x
3. Step 3: Cross multiply
   9,105.64x = 12,566.98 × 5,127.53
4. Step 4: Simplify right side
   9,105.64x = 64,437,566.96
5. Step 5: Solve for x
   x = 64,437,566.96/9,105.64
6. Step 6: Final answer
   x = 7,076.67