Finding the Fourth Proportional to 1,533.56, 2,116.32 and 834.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.56 : 2,116.32 = 834.92 : x
2. Step 2: Convert to fraction form
   1,533.56/2,116.32 = 834.92/x
3. Step 3: Cross multiply
   1,533.56x = 2,116.32 × 834.92
4. Step 4: Simplify right side
   1,533.56x = 1,766,957.89
5. Step 5: Solve for x
   x = 1,766,957.89/1,533.56
6. Step 6: Final answer
   x = 1,152.19