Finding the Fourth Proportional to 1,477.86, 2,215.60 and 819.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.86 : 2,215.60 = 819.72 : x
2. Step 2: Convert to fraction form
   1,477.86/2,215.60 = 819.72/x
3. Step 3: Cross multiply
   1,477.86x = 2,215.60 × 819.72
4. Step 4: Simplify right side
   1,477.86x = 1,816,171.63
5. Step 5: Solve for x
   x = 1,816,171.63/1,477.86
6. Step 6: Final answer
   x = 1,228.92