Finding the Fourth Proportional to 1,578.35, 2,365.10 and 796.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,578.35 : 2,365.10 = 796.16 : x
2. Step 2: Convert to fraction form
   1,578.35/2,365.10 = 796.16/x
3. Step 3: Cross multiply
   1,578.35x = 2,365.10 × 796.16
4. Step 4: Simplify right side
   1,578.35x = 1,883,002.93
5. Step 5: Solve for x
   x = 1,883,002.93/1,578.35
6. Step 6: Final answer
   x = 1,193.02