Finding the Fourth Proportional to 1,447.89, 1,998.07 and 784.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.89 : 1,998.07 = 784.74 : x
2. Step 2: Convert to fraction form
   1,447.89/1,998.07 = 784.74/x
3. Step 3: Cross multiply
   1,447.89x = 1,998.07 × 784.74
4. Step 4: Simplify right side
   1,447.89x = 1,567,965.45
5. Step 5: Solve for x
   x = 1,567,965.45/1,447.89
6. Step 6: Final answer
   x = 1,082.93