Finding the Fourth Proportional to 1,061.24, 1,590.48 and 512.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.24 : 1,590.48 = 512.32 : x
2. Step 2: Convert to fraction form
   1,061.24/1,590.48 = 512.32/x
3. Step 3: Cross multiply
   1,061.24x = 1,590.48 × 512.32
4. Step 4: Simplify right side
   1,061.24x = 814,834.71
5. Step 5: Solve for x
   x = 814,834.71/1,061.24
6. Step 6: Final answer
   x = 767.81