Finding the Fourth Proportional to 1,447.46, 1,997.49 and 784.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.46 : 1,997.49 = 784.31 : x
2. Step 2: Convert to fraction form
   1,447.46/1,997.49 = 784.31/x
3. Step 3: Cross multiply
   1,447.46x = 1,997.49 × 784.31
4. Step 4: Simplify right side
   1,447.46x = 1,566,637.47
5. Step 5: Solve for x
   x = 1,566,637.47/1,447.46
6. Step 6: Final answer
   x = 1,082.34