Finding the Fourth Proportional to 1,447.57, 1,997.63 and 784.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.57 : 1,997.63 = 784.42 : x
2. Step 2: Convert to fraction form
   1,447.57/1,997.63 = 784.42/x
3. Step 3: Cross multiply
   1,447.57x = 1,997.63 × 784.42
4. Step 4: Simplify right side
   1,447.57x = 1,566,980.92
5. Step 5: Solve for x
   x = 1,566,980.92/1,447.57
6. Step 6: Final answer
   x = 1,082.49