Finding the Fourth Proportional to 2,427.87, 3,641.50 and 784.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,427.87 : 3,641.50 = 784.25 : x
2. Step 2: Convert to fraction form
   2,427.87/3,641.50 = 784.25/x
3. Step 3: Cross multiply
   2,427.87x = 3,641.50 × 784.25
4. Step 4: Simplify right side
   2,427.87x = 2,855,846.38
5. Step 5: Solve for x
   x = 2,855,846.38/2,427.87
6. Step 6: Final answer
   x = 1,176.28