Finding the Fourth Proportional to 9,105.86, 12,566.32 and 5,127.11

Step by Step Solution

1. Step 1: Write the proportion equation
   9,105.86 : 12,566.32 = 5,127.11 : x
2. Step 2: Convert to fraction form
   9,105.86/12,566.32 = 5,127.11/x
3. Step 3: Cross multiply
   9,105.86x = 12,566.32 × 5,127.11
4. Step 4: Simplify right side
   9,105.86x = 64,428,904.94
5. Step 5: Solve for x
   x = 64,428,904.94/9,105.86
6. Step 6: Final answer
   x = 7,075.54