Finding the Fourth Proportional to 1,447.62, 1,997.73 and 784.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.62 : 1,997.73 = 784.49 : x
2. Step 2: Convert to fraction form
   1,447.62/1,997.73 = 784.49/x
3. Step 3: Cross multiply
   1,447.62x = 1,997.73 × 784.49
4. Step 4: Simplify right side
   1,447.62x = 1,567,189.22
5. Step 5: Solve for x
   x = 1,567,189.22/1,447.62
6. Step 6: Final answer
   x = 1,082.60