Finding the Fourth Proportional to 2,314, 3,193.32 and 1,615.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,314 : 3,193.32 = 1,615.78 : x
2. Step 2: Convert to fraction form
   2,314/3,193.32 = 1,615.78/x
3. Step 3: Cross multiply
   2,314x = 3,193.32 × 1,615.78
4. Step 4: Simplify right side
   2,314x = 5,159,702.59
5. Step 5: Solve for x
   x = 5,159,702.59/2,314
6. Step 6: Final answer
   x = 2,229.78