Finding the Fourth Proportional to 9,974.62, 14,916.33 and 7,477.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,974.62 : 14,916.33 = 7,477.78 : x
2. Step 2: Convert to fraction form
   9,974.62/14,916.33 = 7,477.78/x
3. Step 3: Cross multiply
   9,974.62x = 14,916.33 × 7,477.78
4. Step 4: Simplify right side
   9,974.62x = 111,541,034.15
5. Step 5: Solve for x
   x = 111,541,034.15/9,974.62
6. Step 6: Final answer
   x = 11,182.48