Finding the Fourth Proportional to 9,105.52, 12,565.14 and 5,126.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,105.52 : 12,565.14 = 5,126.50 : x
2. Step 2: Convert to fraction form
   9,105.52/12,565.14 = 5,126.50/x
3. Step 3: Cross multiply
   9,105.52x = 12,565.14 × 5,126.50
4. Step 4: Simplify right side
   9,105.52x = 64,415,190.21
5. Step 5: Solve for x
   x = 64,415,190.21/9,105.52
6. Step 6: Final answer
   x = 7,074.30