Finding the Fourth Proportional to 9,105.40, 12,565.47 and 5,126.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,105.40 : 12,565.47 = 5,126.50 : x
2. Step 2: Convert to fraction form
   9,105.40/12,565.47 = 5,126.50/x
3. Step 3: Cross multiply
   9,105.40x = 12,565.47 × 5,126.50
4. Step 4: Simplify right side
   9,105.40x = 64,416,881.96
5. Step 5: Solve for x
   x = 64,416,881.96/9,105.40
6. Step 6: Final answer
   x = 7,074.58