Finding the Fourth Proportional to 1,042.15, 1,561.83 and 514.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,042.15 : 1,561.83 = 514.25 : x
2. Step 2: Convert to fraction form
   1,042.15/1,561.83 = 514.25/x
3. Step 3: Cross multiply
   1,042.15x = 1,561.83 × 514.25
4. Step 4: Simplify right side
   1,042.15x = 803,169.13
5. Step 5: Solve for x
   x = 803,169.13/1,042.15
6. Step 6: Final answer
   x = 770.69