Finding the Fourth Proportional to 1,447.54, 1,997.60 and 784.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.54 : 1,997.60 = 784.38 : x
2. Step 2: Convert to fraction form
   1,447.54/1,997.60 = 784.38/x
3. Step 3: Cross multiply
   1,447.54x = 1,997.60 × 784.38
4. Step 4: Simplify right side
   1,447.54x = 1,566,881.06
5. Step 5: Solve for x
   x = 1,566,881.06/1,447.54
6. Step 6: Final answer
   x = 1,082.45