Finding the Fourth Proportional to 9,854.78, 14,792.69 and 5,471.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,854.78 : 14,792.69 = 5,471.06 : x
2. Step 2: Convert to fraction form
   9,854.78/14,792.69 = 5,471.06/x
3. Step 3: Cross multiply
   9,854.78x = 14,792.69 × 5,471.06
4. Step 4: Simplify right side
   9,854.78x = 80,931,634.27
5. Step 5: Solve for x
   x = 80,931,634.27/9,854.78
6. Step 6: Final answer
   x = 8,212.43