Finding the Fourth Proportional to 9,642.69, 14,466.17 and 4,100.79

Step by Step Solution

1. Step 1: Write the proportion equation
   9,642.69 : 14,466.17 = 4,100.79 : x
2. Step 2: Convert to fraction form
   9,642.69/14,466.17 = 4,100.79/x
3. Step 3: Cross multiply
   9,642.69x = 14,466.17 × 4,100.79
4. Step 4: Simplify right side
   9,642.69x = 59,322,725.27
5. Step 5: Solve for x
   x = 59,322,725.27/9,642.69
6. Step 6: Final answer
   x = 6,152.09