Finding the Fourth Proportional to 1,002.78, 1,504.35 and 516.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.78 : 1,504.35 = 516.06 : x
2. Step 2: Convert to fraction form
   1,002.78/1,504.35 = 516.06/x
3. Step 3: Cross multiply
   1,002.78x = 1,504.35 × 516.06
4. Step 4: Simplify right side
   1,002.78x = 776,334.86
5. Step 5: Solve for x
   x = 776,334.86/1,002.78
6. Step 6: Final answer
   x = 774.18