Finding the Fourth Proportional to 1,002.77, 1,383.82 and 560.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.77 : 1,383.82 = 560.69 : x
2. Step 2: Convert to fraction form
   1,002.77/1,383.82 = 560.69/x
3. Step 3: Cross multiply
   1,002.77x = 1,383.82 × 560.69
4. Step 4: Simplify right side
   1,002.77x = 775,894.04
5. Step 5: Solve for x
   x = 775,894.04/1,002.77
6. Step 6: Final answer
   x = 773.75