Finding the Fourth Proportional to 1,447.72, 1,997.85 and 784.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.72 : 1,997.85 = 784.57 : x
2. Step 2: Convert to fraction form
   1,447.72/1,997.85 = 784.57/x
3. Step 3: Cross multiply
   1,447.72x = 1,997.85 × 784.57
4. Step 4: Simplify right side
   1,447.72x = 1,567,453.17
5. Step 5: Solve for x
   x = 1,567,453.17/1,447.72
6. Step 6: Final answer
   x = 1,082.70