Finding the Fourth Proportional to 9,760.23, 14,642.69 and 3,186.43

Step by Step Solution

1. Step 1: Write the proportion equation
   9,760.23 : 14,642.69 = 3,186.43 : x
2. Step 2: Convert to fraction form
   9,760.23/14,642.69 = 3,186.43/x
3. Step 3: Cross multiply
   9,760.23x = 14,642.69 × 3,186.43
4. Step 4: Simplify right side
   9,760.23x = 46,657,854.16
5. Step 5: Solve for x
   x = 46,657,854.16/9,760.23
6. Step 6: Final answer
   x = 4,780.41