Finding the Fourth Proportional to 1,061.75, 1,591.34 and 512.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.75 : 1,591.34 = 512.70 : x
2. Step 2: Convert to fraction form
   1,061.75/1,591.34 = 512.70/x
3. Step 3: Cross multiply
   1,061.75x = 1,591.34 × 512.70
4. Step 4: Simplify right side
   1,061.75x = 815,877.45
5. Step 5: Solve for x
   x = 815,877.45/1,061.75
6. Step 6: Final answer
   x = 768.43