Finding the Fourth Proportional to 1,447.56, 1,997.62 and 784.39

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.56 : 1,997.62 = 784.39 : x
2. Step 2: Convert to fraction form
   1,447.56/1,997.62 = 784.39/x
3. Step 3: Cross multiply
   1,447.56x = 1,997.62 × 784.39
4. Step 4: Simplify right side
   1,447.56x = 1,566,913.15
5. Step 5: Solve for x
   x = 1,566,913.15/1,447.56
6. Step 6: Final answer
   x = 1,082.45