Finding the Fourth Proportional to 9,105.65, 12,566.04 and 5,126.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,105.65 : 12,566.04 = 5,126.46 : x
2. Step 2: Convert to fraction form
   9,105.65/12,566.04 = 5,126.46/x
3. Step 3: Cross multiply
   9,105.65x = 12,566.04 × 5,126.46
4. Step 4: Simplify right side
   9,105.65x = 64,419,235.07
5. Step 5: Solve for x
   x = 64,419,235.07/9,105.65
6. Step 6: Final answer
   x = 7,074.65