Finding the Fourth Proportional to 1,354.24, 1,867.89 and 830.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,354.24 : 1,867.89 = 830.17 : x
2. Step 2: Convert to fraction form
   1,354.24/1,867.89 = 830.17/x
3. Step 3: Cross multiply
   1,354.24x = 1,867.89 × 830.17
4. Step 4: Simplify right side
   1,354.24x = 1,550,666.24
5. Step 5: Solve for x
   x = 1,550,666.24/1,354.24
6. Step 6: Final answer
   x = 1,145.05