Finding the Fourth Proportional to 1,297.86, 1,947.15 and 567.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,297.86 : 1,947.15 = 567.51 : x
2. Step 2: Convert to fraction form
   1,297.86/1,947.15 = 567.51/x
3. Step 3: Cross multiply
   1,297.86x = 1,947.15 × 567.51
4. Step 4: Simplify right side
   1,297.86x = 1,105,027.10
5. Step 5: Solve for x
   x = 1,105,027.10/1,297.86
6. Step 6: Final answer
   x = 851.42