Finding the Fourth Proportional to 1,294.47, 1,942.46 and 564.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,294.47 : 1,942.46 = 564.15 : x
2. Step 2: Convert to fraction form
   1,294.47/1,942.46 = 564.15/x
3. Step 3: Cross multiply
   1,294.47x = 1,942.46 × 564.15
4. Step 4: Simplify right side
   1,294.47x = 1,095,838.81
5. Step 5: Solve for x
   x = 1,095,838.81/1,294.47
6. Step 6: Final answer
   x = 846.55