Finding the Fourth Proportional to 1,002.35, 1,383.28 and 560.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.35 : 1,383.28 = 560.25 : x
2. Step 2: Convert to fraction form
   1,002.35/1,383.28 = 560.25/x
3. Step 3: Cross multiply
   1,002.35x = 1,383.28 × 560.25
4. Step 4: Simplify right side
   1,002.35x = 774,982.62
5. Step 5: Solve for x
   x = 774,982.62/1,002.35
6. Step 6: Final answer
   x = 773.17