Finding the Fourth Proportional to 12,148.69, 18,224.85 and 3,827.83

Step by Step Solution

1. Step 1: Write the proportion equation
   12,148.69 : 18,224.85 = 3,827.83 : x
2. Step 2: Convert to fraction form
   12,148.69/18,224.85 = 3,827.83/x
3. Step 3: Cross multiply
   12,148.69x = 18,224.85 × 3,827.83
4. Step 4: Simplify right side
   12,148.69x = 69,761,627.58
5. Step 5: Solve for x
   x = 69,761,627.58/12,148.69
6. Step 6: Final answer
   x = 5,742.32