Finding the Fourth Proportional to 1,447.86, 1,998.06 and 784.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.86 : 1,998.06 = 784.72 : x
2. Step 2: Convert to fraction form
   1,447.86/1,998.06 = 784.72/x
3. Step 3: Cross multiply
   1,447.86x = 1,998.06 × 784.72
4. Step 4: Simplify right side
   1,447.86x = 1,567,903.73
5. Step 5: Solve for x
   x = 1,567,903.73/1,447.86
6. Step 6: Final answer
   x = 1,082.91