Finding the Fourth Proportional to 1,533.43, 2,116.17 and 834.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.43 : 2,116.17 = 834.82 : x
2. Step 2: Convert to fraction form
   1,533.43/2,116.17 = 834.82/x
3. Step 3: Cross multiply
   1,533.43x = 2,116.17 × 834.82
4. Step 4: Simplify right side
   1,533.43x = 1,766,621.04
5. Step 5: Solve for x
   x = 1,766,621.04/1,533.43
6. Step 6: Final answer
   x = 1,152.07