Finding the Fourth Proportional to 1,061.29, 1,590.72 and 512.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.29 : 1,590.72 = 512.65 : x
2. Step 2: Convert to fraction form
   1,061.29/1,590.72 = 512.65/x
3. Step 3: Cross multiply
   1,061.29x = 1,590.72 × 512.65
4. Step 4: Simplify right side
   1,061.29x = 815,482.61
5. Step 5: Solve for x
   x = 815,482.61/1,061.29
6. Step 6: Final answer
   x = 768.39