Finding the Fourth Proportional to 1,463.38, 2,192.82 and 1,023.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.38 : 2,192.82 = 1,023.70 : x
2. Step 2: Convert to fraction form
   1,463.38/2,192.82 = 1,023.70/x
3. Step 3: Cross multiply
   1,463.38x = 2,192.82 × 1,023.70
4. Step 4: Simplify right side
   1,463.38x = 2,244,789.83
5. Step 5: Solve for x
   x = 2,244,789.83/1,463.38
6. Step 6: Final answer
   x = 1,533.98