Finding the Fourth Proportional to 2,084.88, 3,123.20 and 1,565.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.88 : 3,123.20 = 1,565.49 : x
2. Step 2: Convert to fraction form
   2,084.88/3,123.20 = 1,565.49/x
3. Step 3: Cross multiply
   2,084.88x = 3,123.20 × 1,565.49
4. Step 4: Simplify right side
   2,084.88x = 4,889,314.92
5. Step 5: Solve for x
   x = 4,889,314.92/2,084.88
6. Step 6: Final answer
   x = 2,345.14