Finding the Fourth Proportional to 1,463.40, 2,019.49 and 865.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.40 : 2,019.49 = 865.89 : x
2. Step 2: Convert to fraction form
   1,463.40/2,019.49 = 865.89/x
3. Step 3: Cross multiply
   1,463.40x = 2,019.49 × 865.89
4. Step 4: Simplify right side
   1,463.40x = 1,748,654.03
5. Step 5: Solve for x
   x = 1,748,654.03/1,463.40
6. Step 6: Final answer
   x = 1,194.93