Finding the Fourth Proportional to 1,198.86, 1,796.69 and 468.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,198.86 : 1,796.69 = 468.04 : x
2. Step 2: Convert to fraction form
   1,198.86/1,796.69 = 468.04/x
3. Step 3: Cross multiply
   1,198.86x = 1,796.69 × 468.04
4. Step 4: Simplify right side
   1,198.86x = 840,911.46
5. Step 5: Solve for x
   x = 840,911.46/1,198.86
6. Step 6: Final answer
   x = 701.43