Finding the Fourth Proportional to 1,026.42, 1,538.01 and 796.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.42 : 1,538.01 = 796.65 : x
2. Step 2: Convert to fraction form
   1,026.42/1,538.01 = 796.65/x
3. Step 3: Cross multiply
   1,026.42x = 1,538.01 × 796.65
4. Step 4: Simplify right side
   1,026.42x = 1,225,255.67
5. Step 5: Solve for x
   x = 1,225,255.67/1,026.42
6. Step 6: Final answer
   x = 1,193.72