Finding the Fourth Proportional to 1,298.56, 1,946.76 and 567.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.56 : 1,946.76 = 567.92 : x
2. Step 2: Convert to fraction form
   1,298.56/1,946.76 = 567.92/x
3. Step 3: Cross multiply
   1,298.56x = 1,946.76 × 567.92
4. Step 4: Simplify right side
   1,298.56x = 1,105,603.94
5. Step 5: Solve for x
   x = 1,105,603.94/1,298.56
6. Step 6: Final answer
   x = 851.41