Finding the Fourth Proportional to 1,084.96, 1,627.98 and 798.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,084.96 : 1,627.98 = 798.76 : x
2. Step 2: Convert to fraction form
   1,084.96/1,627.98 = 798.76/x
3. Step 3: Cross multiply
   1,084.96x = 1,627.98 × 798.76
4. Step 4: Simplify right side
   1,084.96x = 1,300,353.17
5. Step 5: Solve for x
   x = 1,300,353.17/1,084.96
6. Step 6: Final answer
   x = 1,198.53