Finding the Fourth Proportional to 1,447.85, 1,997.98 and 784.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.85 : 1,997.98 = 784.69 : x
2. Step 2: Convert to fraction form
   1,447.85/1,997.98 = 784.69/x
3. Step 3: Cross multiply
   1,447.85x = 1,997.98 × 784.69
4. Step 4: Simplify right side
   1,447.85x = 1,567,794.93
5. Step 5: Solve for x
   x = 1,567,794.93/1,447.85
6. Step 6: Final answer
   x = 1,082.84