Finding the Fourth Proportional to 1,470.78, 2,204.55 and 820.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,470.78 : 2,204.55 = 820.35 : x
2. Step 2: Convert to fraction form
   1,470.78/2,204.55 = 820.35/x
3. Step 3: Cross multiply
   1,470.78x = 2,204.55 × 820.35
4. Step 4: Simplify right side
   1,470.78x = 1,808,502.59
5. Step 5: Solve for x
   x = 1,808,502.59/1,470.78
6. Step 6: Final answer
   x = 1,229.62