Finding the Fourth Proportional to 1,298.85, 1,947.59 and 567.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.85 : 1,947.59 = 567.57 : x
2. Step 2: Convert to fraction form
   1,298.85/1,947.59 = 567.57/x
3. Step 3: Cross multiply
   1,298.85x = 1,947.59 × 567.57
4. Step 4: Simplify right side
   1,298.85x = 1,105,390.82
5. Step 5: Solve for x
   x = 1,105,390.82/1,298.85
6. Step 6: Final answer
   x = 851.06