Finding the Fourth Proportional to 1,374.20, 1,896.38 and 784.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,374.20 : 1,896.38 = 784.71 : x
2. Step 2: Convert to fraction form
   1,374.20/1,896.38 = 784.71/x
3. Step 3: Cross multiply
   1,374.20x = 1,896.38 × 784.71
4. Step 4: Simplify right side
   1,374.20x = 1,488,104.43
5. Step 5: Solve for x
   x = 1,488,104.43/1,374.20
6. Step 6: Final answer
   x = 1,082.89