Finding the Fourth Proportional to 1,463.86, 2,019.56 and 932.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.86 : 2,019.56 = 932.65 : x
2. Step 2: Convert to fraction form
   1,463.86/2,019.56 = 932.65/x
3. Step 3: Cross multiply
   1,463.86x = 2,019.56 × 932.65
4. Step 4: Simplify right side
   1,463.86x = 1,883,546.94
5. Step 5: Solve for x
   x = 1,883,546.94/1,463.86
6. Step 6: Final answer
   x = 1,286.70