Finding the Fourth Proportional to 11,466.78, 15,827.52 and 7,488.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,466.78 : 15,827.52 = 7,488.50 : x
2. Step 2: Convert to fraction form
   11,466.78/15,827.52 = 7,488.50/x
3. Step 3: Cross multiply
   11,466.78x = 15,827.52 × 7,488.50
4. Step 4: Simplify right side
   11,466.78x = 118,524,304.38
5. Step 5: Solve for x
   x = 118,524,304.38/11,466.78
6. Step 6: Final answer
   x = 10,336.32