Finding the Fourth Proportional to 1,447.54, 1,997.61 and 784.39

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.54 : 1,997.61 = 784.39 : x
2. Step 2: Convert to fraction form
   1,447.54/1,997.61 = 784.39/x
3. Step 3: Cross multiply
   1,447.54x = 1,997.61 × 784.39
4. Step 4: Simplify right side
   1,447.54x = 1,566,905.31
5. Step 5: Solve for x
   x = 1,566,905.31/1,447.54
6. Step 6: Final answer
   x = 1,082.46