Finding the Fourth Proportional to 1,002.02, 1,503.05 and 563.21

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.02 : 1,503.05 = 563.21 : x
2. Step 2: Convert to fraction form
   1,002.02/1,503.05 = 563.21/x
3. Step 3: Cross multiply
   1,002.02x = 1,503.05 × 563.21
4. Step 4: Simplify right side
   1,002.02x = 846,522.46
5. Step 5: Solve for x
   x = 846,522.46/1,002.02
6. Step 6: Final answer
   x = 844.82