Finding the Fourth Proportional to 1,447.93, 1,998.13 and 784.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.93 : 1,998.13 = 784.78 : x
2. Step 2: Convert to fraction form
   1,447.93/1,998.13 = 784.78/x
3. Step 3: Cross multiply
   1,447.93x = 1,998.13 × 784.78
4. Step 4: Simplify right side
   1,447.93x = 1,568,092.46
5. Step 5: Solve for x
   x = 1,568,092.46/1,447.93
6. Step 6: Final answer
   x = 1,082.99