Finding the Fourth Proportional to 1,533.34, 2,116.02 and 834.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.34 : 2,116.02 = 834.72 : x
2. Step 2: Convert to fraction form
   1,533.34/2,116.02 = 834.72/x
3. Step 3: Cross multiply
   1,533.34x = 2,116.02 × 834.72
4. Step 4: Simplify right side
   1,533.34x = 1,766,284.21
5. Step 5: Solve for x
   x = 1,766,284.21/1,533.34
6. Step 6: Final answer
   x = 1,151.92