Finding the Fourth Proportional to 2,054.34, 3,081.78 and 821.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,054.34 : 3,081.78 = 821.88 : x
2. Step 2: Convert to fraction form
   2,054.34/3,081.78 = 821.88/x
3. Step 3: Cross multiply
   2,054.34x = 3,081.78 × 821.88
4. Step 4: Simplify right side
   2,054.34x = 2,532,853.35
5. Step 5: Solve for x
   x = 2,532,853.35/2,054.34
6. Step 6: Final answer
   x = 1,232.93