Finding the Fourth Proportional to 9,564.80, 14,248.56 and 9,274.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,564.80 : 14,248.56 = 9,274.64 : x
2. Step 2: Convert to fraction form
   9,564.80/14,248.56 = 9,274.64/x
3. Step 3: Cross multiply
   9,564.80x = 14,248.56 × 9,274.64
4. Step 4: Simplify right side
   9,564.80x = 132,150,264.52
5. Step 5: Solve for x
   x = 132,150,264.52/9,564.80
6. Step 6: Final answer
   x = 13,816.31