Finding the Fourth Proportional to 1,447.35, 1,997.29 and 784.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.35 : 1,997.29 = 784.19 : x
2. Step 2: Convert to fraction form
   1,447.35/1,997.29 = 784.19/x
3. Step 3: Cross multiply
   1,447.35x = 1,997.29 × 784.19
4. Step 4: Simplify right side
   1,447.35x = 1,566,249.33
5. Step 5: Solve for x
   x = 1,566,249.33/1,447.35
6. Step 6: Final answer
   x = 1,082.15