Finding the Fourth Proportional to 1,304.78, 1,801.43 and 1,164.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,304.78 : 1,801.43 = 1,164.65 : x
2. Step 2: Convert to fraction form
   1,304.78/1,801.43 = 1,164.65/x
3. Step 3: Cross multiply
   1,304.78x = 1,801.43 × 1,164.65
4. Step 4: Simplify right side
   1,304.78x = 2,098,020.62
5. Step 5: Solve for x
   x = 2,098,020.62/1,304.78
6. Step 6: Final answer
   x = 1,607.96