Finding the Fourth Proportional to 1,533.50, 2,116.24 and 834.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.50 : 2,116.24 = 834.88 : x
2. Step 2: Convert to fraction form
   1,533.50/2,116.24 = 834.88/x
3. Step 3: Cross multiply
   1,533.50x = 2,116.24 × 834.88
4. Step 4: Simplify right side
   1,533.50x = 1,766,806.45
5. Step 5: Solve for x
   x = 1,766,806.45/1,533.50
6. Step 6: Final answer
   x = 1,152.14