Finding the Fourth Proportional to 1,432.22, 1,976.41 and 834.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,432.22 : 1,976.41 = 834.77 : x
2. Step 2: Convert to fraction form
   1,432.22/1,976.41 = 834.77/x
3. Step 3: Cross multiply
   1,432.22x = 1,976.41 × 834.77
4. Step 4: Simplify right side
   1,432.22x = 1,649,843.60
5. Step 5: Solve for x
   x = 1,649,843.60/1,432.22
6. Step 6: Final answer
   x = 1,151.95