Finding the Fourth Proportional to 8,769.64, 12,105.46 and 5,413

Step by Step Solution

1. Step 1: Write the proportion equation
   8,769.64 : 12,105.46 = 5,413 : x
2. Step 2: Convert to fraction form
   8,769.64/12,105.46 = 5,413/x
3. Step 3: Cross multiply
   8,769.64x = 12,105.46 × 5,413
4. Step 4: Simplify right side
   8,769.64x = 65,526,854.98
5. Step 5: Solve for x
   x = 65,526,854.98/8,769.64
6. Step 6: Final answer
   x = 7,472.01