Finding the Fourth Proportional to 1,447.69, 1,997.81 and 784.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.69 : 1,997.81 = 784.55 : x
2. Step 2: Convert to fraction form
   1,447.69/1,997.81 = 784.55/x
3. Step 3: Cross multiply
   1,447.69x = 1,997.81 × 784.55
4. Step 4: Simplify right side
   1,447.69x = 1,567,390.26
5. Step 5: Solve for x
   x = 1,567,390.26/1,447.69
6. Step 6: Final answer
   x = 1,082.68