Finding the Fourth Proportional to 1,294.50, 1,942.18 and 564.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,294.50 : 1,942.18 = 564.55 : x
2. Step 2: Convert to fraction form
   1,294.50/1,942.18 = 564.55/x
3. Step 3: Cross multiply
   1,294.50x = 1,942.18 × 564.55
4. Step 4: Simplify right side
   1,294.50x = 1,096,459.13
5. Step 5: Solve for x
   x = 1,096,459.13/1,294.50
6. Step 6: Final answer
   x = 847.02