Finding the Fourth Proportional to 1,003.43, 1,503.75 and 564.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.43 : 1,503.75 = 564.89 : x
2. Step 2: Convert to fraction form
   1,003.43/1,503.75 = 564.89/x
3. Step 3: Cross multiply
   1,003.43x = 1,503.75 × 564.89
4. Step 4: Simplify right side
   1,003.43x = 849,445.82
5. Step 5: Solve for x
   x = 849,445.82/1,003.43
6. Step 6: Final answer
   x = 846.55