Finding the Fourth Proportional to 2,565.84, 3,848.71 and 834.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.84 : 3,848.71 = 834.46 : x
2. Step 2: Convert to fraction form
   2,565.84/3,848.71 = 834.46/x
3. Step 3: Cross multiply
   2,565.84x = 3,848.71 × 834.46
4. Step 4: Simplify right side
   2,565.84x = 3,211,594.55
5. Step 5: Solve for x
   x = 3,211,594.55/2,565.84
6. Step 6: Final answer
   x = 1,251.67