Finding the Fourth Proportional to 2,427.36, 3,641.46 and 784.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,427.36 : 3,641.46 = 784.42 : x
2. Step 2: Convert to fraction form
   2,427.36/3,641.46 = 784.42/x
3. Step 3: Cross multiply
   2,427.36x = 3,641.46 × 784.42
4. Step 4: Simplify right side
   2,427.36x = 2,856,434.05
5. Step 5: Solve for x
   x = 2,856,434.05/2,427.36
6. Step 6: Final answer
   x = 1,176.77