Finding the Fourth Proportional to 1,298.16, 1,947.51 and 567.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.16 : 1,947.51 = 567.72 : x
2. Step 2: Convert to fraction form
   1,298.16/1,947.51 = 567.72/x
3. Step 3: Cross multiply
   1,298.16x = 1,947.51 × 567.72
4. Step 4: Simplify right side
   1,298.16x = 1,105,640.38
5. Step 5: Solve for x
   x = 1,105,640.38/1,298.16
6. Step 6: Final answer
   x = 851.70