Finding the Fourth Proportional to 1,364.20, 1,882.26 and 796.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,364.20 : 1,882.26 = 796.71 : x
2. Step 2: Convert to fraction form
   1,364.20/1,882.26 = 796.71/x
3. Step 3: Cross multiply
   1,364.20x = 1,882.26 × 796.71
4. Step 4: Simplify right side
   1,364.20x = 1,499,619.45
5. Step 5: Solve for x
   x = 1,499,619.45/1,364.20
6. Step 6: Final answer
   x = 1,099.27