Finding the Fourth Proportional to 1,298.26, 1,947.57 and 567.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.26 : 1,947.57 = 567.82 : x
2. Step 2: Convert to fraction form
   1,298.26/1,947.57 = 567.82/x
3. Step 3: Cross multiply
   1,298.26x = 1,947.57 × 567.82
4. Step 4: Simplify right side
   1,298.26x = 1,105,869.20
5. Step 5: Solve for x
   x = 1,105,869.20/1,298.26
6. Step 6: Final answer
   x = 851.81