Finding the Fourth Proportional to 1,447.59, 1,997.67 and 784.44

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.59 : 1,997.67 = 784.44 : x
2. Step 2: Convert to fraction form
   1,447.59/1,997.67 = 784.44/x
3. Step 3: Cross multiply
   1,447.59x = 1,997.67 × 784.44
4. Step 4: Simplify right side
   1,447.59x = 1,567,048.33
5. Step 5: Solve for x
   x = 1,567,048.33/1,447.59
6. Step 6: Final answer
   x = 1,082.53