Finding the Fourth Proportional to 11,478.47, 15,833.58 and 7,222.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11,478.47 : 15,833.58 = 7,222.82 : x
2. Step 2: Convert to fraction form
   11,478.47/15,833.58 = 7,222.82/x
3. Step 3: Cross multiply
   11,478.47x = 15,833.58 × 7,222.82
4. Step 4: Simplify right side
   11,478.47x = 114,363,098.30
5. Step 5: Solve for x
   x = 114,363,098.30/11,478.47
6. Step 6: Final answer
   x = 9,963.27