Finding the Fourth Proportional to 9,105.19, 12,565.40 and 5,126.45

Step by Step Solution

1. Step 1: Write the proportion equation
   9,105.19 : 12,565.40 = 5,126.45 : x
2. Step 2: Convert to fraction form
   9,105.19/12,565.40 = 5,126.45/x
3. Step 3: Cross multiply
   9,105.19x = 12,565.40 × 5,126.45
4. Step 4: Simplify right side
   9,105.19x = 64,415,869.82
5. Step 5: Solve for x
   x = 64,415,869.82/9,105.19
6. Step 6: Final answer
   x = 7,074.63