Finding the Fourth Proportional to 1,447.91, 1,998.12 and 784.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.91 : 1,998.12 = 784.77 : x
2. Step 2: Convert to fraction form
   1,447.91/1,998.12 = 784.77/x
3. Step 3: Cross multiply
   1,447.91x = 1,998.12 × 784.77
4. Step 4: Simplify right side
   1,447.91x = 1,568,064.63
5. Step 5: Solve for x
   x = 1,568,064.63/1,447.91
6. Step 6: Final answer
   x = 1,082.99