Finding the Fourth Proportional to 1,219.86, 1,828.17 and 733.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,219.86 : 1,828.17 = 733.05 : x
2. Step 2: Convert to fraction form
   1,219.86/1,828.17 = 733.05/x
3. Step 3: Cross multiply
   1,219.86x = 1,828.17 × 733.05
4. Step 4: Simplify right side
   1,219.86x = 1,340,140.02
5. Step 5: Solve for x
   x = 1,340,140.02/1,219.86
6. Step 6: Final answer
   x = 1,098.60