Finding the Fourth Proportional to 1,308.74, 1,806.32 and 830.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,308.74 : 1,806.32 = 830.32 : x
2. Step 2: Convert to fraction form
   1,308.74/1,806.32 = 830.32/x
3. Step 3: Cross multiply
   1,308.74x = 1,806.32 × 830.32
4. Step 4: Simplify right side
   1,308.74x = 1,499,823.62
5. Step 5: Solve for x
   x = 1,499,823.62/1,308.74
6. Step 6: Final answer
   x = 1,146.01