Finding the Fourth Proportional to 1,374.21, 1,896.37 and 784.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,374.21 : 1,896.37 = 784.69 : x
2. Step 2: Convert to fraction form
   1,374.21/1,896.37 = 784.69/x
3. Step 3: Cross multiply
   1,374.21x = 1,896.37 × 784.69
4. Step 4: Simplify right side
   1,374.21x = 1,488,055.87
5. Step 5: Solve for x
   x = 1,488,055.87/1,374.21
6. Step 6: Final answer
   x = 1,082.84