Finding the Fourth Proportional to 1,533.92, 2,116.82 and 835.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.92 : 2,116.82 = 835.30 : x
2. Step 2: Convert to fraction form
   1,533.92/2,116.82 = 835.30/x
3. Step 3: Cross multiply
   1,533.92x = 2,116.82 × 835.30
4. Step 4: Simplify right side
   1,533.92x = 1,768,176.54
5. Step 5: Solve for x
   x = 1,768,176.54/1,533.92
6. Step 6: Final answer
   x = 1,152.72