Finding the Fourth Proportional to 10,419.69, 15,632.27 and 4,178.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419.69 : 15,632.27 = 4,178.58 : x
2. Step 2: Convert to fraction form
   10,419.69/15,632.27 = 4,178.58/x
3. Step 3: Cross multiply
   10,419.69x = 15,632.27 × 4,178.58
4. Step 4: Simplify right side
   10,419.69x = 65,320,690.78
5. Step 5: Solve for x
   x = 65,320,690.78/10,419.69
6. Step 6: Final answer
   x = 6,268.97