Finding the Fourth Proportional to 1,447.71, 1,997.83 and 784.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.71 : 1,997.83 = 784.56 : x
2. Step 2: Convert to fraction form
   1,447.71/1,997.83 = 784.56/x
3. Step 3: Cross multiply
   1,447.71x = 1,997.83 × 784.56
4. Step 4: Simplify right side
   1,447.71x = 1,567,417.50
5. Step 5: Solve for x
   x = 1,567,417.50/1,447.71
6. Step 6: Final answer
   x = 1,082.69