Finding the Fourth Proportional to 2,199.83, 3,301.41 and 814.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,199.83 : 3,301.41 = 814.47 : x
2. Step 2: Convert to fraction form
   2,199.83/3,301.41 = 814.47/x
3. Step 3: Cross multiply
   2,199.83x = 3,301.41 × 814.47
4. Step 4: Simplify right side
   2,199.83x = 2,688,904.07
5. Step 5: Solve for x
   x = 2,688,904.07/2,199.83
6. Step 6: Final answer
   x = 1,222.33