Finding the Fourth Proportional to 1,470.08, 2,200.72 and 819.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,470.08 : 2,200.72 = 819.20 : x
2. Step 2: Convert to fraction form
   1,470.08/2,200.72 = 819.20/x
3. Step 3: Cross multiply
   1,470.08x = 2,200.72 × 819.20
4. Step 4: Simplify right side
   1,470.08x = 1,802,829.82
5. Step 5: Solve for x
   x = 1,802,829.82/1,470.08
6. Step 6: Final answer
   x = 1,226.35