Finding the Fourth Proportional to 1,533.41, 2,116.10 and 834.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.41 : 2,116.10 = 834.78 : x
2. Step 2: Convert to fraction form
   1,533.41/2,116.10 = 834.78/x
3. Step 3: Cross multiply
   1,533.41x = 2,116.10 × 834.78
4. Step 4: Simplify right side
   1,533.41x = 1,766,477.96
5. Step 5: Solve for x
   x = 1,766,477.96/1,533.41
6. Step 6: Final answer
   x = 1,151.99