Finding the Fourth Proportional to 1,354.46, 1,868.97 and 830.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,354.46 : 1,868.97 = 830.38 : x
2. Step 2: Convert to fraction form
   1,354.46/1,868.97 = 830.38/x
3. Step 3: Cross multiply
   1,354.46x = 1,868.97 × 830.38
4. Step 4: Simplify right side
   1,354.46x = 1,551,955.31
5. Step 5: Solve for x
   x = 1,551,955.31/1,354.46
6. Step 6: Final answer
   x = 1,145.81