Finding the Fourth Proportional to 1,578.58, 2,364.06 and 797.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,578.58 : 2,364.06 = 797.56 : x
2. Step 2: Convert to fraction form
   1,578.58/2,364.06 = 797.56/x
3. Step 3: Cross multiply
   1,578.58x = 2,364.06 × 797.56
4. Step 4: Simplify right side
   1,578.58x = 1,885,479.69
5. Step 5: Solve for x
   x = 1,885,479.69/1,578.58
6. Step 6: Final answer
   x = 1,194.42