Finding the Fourth Proportional to 1,506.09, 2,078.33 and 833.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,506.09 : 2,078.33 = 833.86 : x
2. Step 2: Convert to fraction form
   1,506.09/2,078.33 = 833.86/x
3. Step 3: Cross multiply
   1,506.09x = 2,078.33 × 833.86
4. Step 4: Simplify right side
   1,506.09x = 1,733,021.69
5. Step 5: Solve for x
   x = 1,733,021.69/1,506.09
6. Step 6: Final answer
   x = 1,150.68