Finding the Fourth Proportional to 1,038.92, 1,435.54 and 830.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,038.92 : 1,435.54 = 830.82 : x
2. Step 2: Convert to fraction form
   1,038.92/1,435.54 = 830.82/x
3. Step 3: Cross multiply
   1,038.92x = 1,435.54 × 830.82
4. Step 4: Simplify right side
   1,038.92x = 1,192,675.34
5. Step 5: Solve for x
   x = 1,192,675.34/1,038.92
6. Step 6: Final answer
   x = 1,148.00