Finding the Fourth Proportional to 1,061.96, 1,593.16 and 513.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.96 : 1,593.16 = 513.83 : x
2. Step 2: Convert to fraction form
   1,061.96/1,593.16 = 513.83/x
3. Step 3: Cross multiply
   1,061.96x = 1,593.16 × 513.83
4. Step 4: Simplify right side
   1,061.96x = 818,616.10
5. Step 5: Solve for x
   x = 818,616.10/1,061.96
6. Step 6: Final answer
   x = 770.86