Finding the Fourth Proportional to 9,760.10, 14,641.15 and 3,186.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,760.10 : 14,641.15 = 3,186.78 : x
2. Step 2: Convert to fraction form
   9,760.10/14,641.15 = 3,186.78/x
3. Step 3: Cross multiply
   9,760.10x = 14,641.15 × 3,186.78
4. Step 4: Simplify right side
   9,760.10x = 46,658,124.00
5. Step 5: Solve for x
   x = 46,658,124.00/9,760.10
6. Step 6: Final answer
   x = 4,780.50