Finding the Fourth Proportional to 9,784.40, 14,672.82 and 5,627.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784.40 : 14,672.82 = 5,627.48 : x
2. Step 2: Convert to fraction form
   9,784.40/14,672.82 = 5,627.48/x
3. Step 3: Cross multiply
   9,784.40x = 14,672.82 × 5,627.48
4. Step 4: Simplify right side
   9,784.40x = 82,571,001.09
5. Step 5: Solve for x
   x = 82,571,001.09/9,784.40
6. Step 6: Final answer
   x = 8,439.05