Finding the Fourth Proportional to 1,061.98, 1,590.84 and 512.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.98 : 1,590.84 = 512.53 : x
2. Step 2: Convert to fraction form
   1,061.98/1,590.84 = 512.53/x
3. Step 3: Cross multiply
   1,061.98x = 1,590.84 × 512.53
4. Step 4: Simplify right side
   1,061.98x = 815,349.25
5. Step 5: Solve for x
   x = 815,349.25/1,061.98
6. Step 6: Final answer
   x = 767.77