Finding the Fourth Proportional to 9,419.31, 14,124.86 and 3,178.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,419.31 : 14,124.86 = 3,178.16 : x
2. Step 2: Convert to fraction form
   9,419.31/14,124.86 = 3,178.16/x
3. Step 3: Cross multiply
   9,419.31x = 14,124.86 × 3,178.16
4. Step 4: Simplify right side
   9,419.31x = 44,891,074.22
5. Step 5: Solve for x
   x = 44,891,074.22/9,419.31
6. Step 6: Final answer
   x = 4,765.85