Finding the Fourth Proportional to 1,002.34, 1,502.56 and 563.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.34 : 1,502.56 = 563.83 : x
2. Step 2: Convert to fraction form
   1,002.34/1,502.56 = 563.83/x
3. Step 3: Cross multiply
   1,002.34x = 1,502.56 × 563.83
4. Step 4: Simplify right side
   1,002.34x = 847,185.35
5. Step 5: Solve for x
   x = 847,185.35/1,002.34
6. Step 6: Final answer
   x = 845.21