Finding the Fourth Proportional to 9,685.74, 14,601 and 9,042.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,685.74 : 14,601 = 9,042.78 : x
2. Step 2: Convert to fraction form
   9,685.74/14,601 = 9,042.78/x
3. Step 3: Cross multiply
   9,685.74x = 14,601 × 9,042.78
4. Step 4: Simplify right side
   9,685.74x = 132,033,630.78
5. Step 5: Solve for x
   x = 132,033,630.78/9,685.74
6. Step 6: Final answer
   x = 13,631.75