Finding the Fourth Proportional to 1,578.24, 2,364.17 and 797.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,578.24 : 2,364.17 = 797.15 : x
2. Step 2: Convert to fraction form
   1,578.24/2,364.17 = 797.15/x
3. Step 3: Cross multiply
   1,578.24x = 2,364.17 × 797.15
4. Step 4: Simplify right side
   1,578.24x = 1,884,606.02
5. Step 5: Solve for x
   x = 1,884,606.02/1,578.24
6. Step 6: Final answer
   x = 1,194.12