Finding the Fourth Proportional to 1,002.88, 1,383.76 and 560.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.88 : 1,383.76 = 560.77 : x
2. Step 2: Convert to fraction form
   1,002.88/1,383.76 = 560.77/x
3. Step 3: Cross multiply
   1,002.88x = 1,383.76 × 560.77
4. Step 4: Simplify right side
   1,002.88x = 775,968.34
5. Step 5: Solve for x
   x = 775,968.34/1,002.88
6. Step 6: Final answer
   x = 773.74