Finding the Fourth Proportional to 2,427.56, 3,641.94 and 784.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,427.56 : 3,641.94 = 784.07 : x
2. Step 2: Convert to fraction form
   2,427.56/3,641.94 = 784.07/x
3. Step 3: Cross multiply
   2,427.56x = 3,641.94 × 784.07
4. Step 4: Simplify right side
   2,427.56x = 2,855,535.90
5. Step 5: Solve for x
   x = 2,855,535.90/2,427.56
6. Step 6: Final answer
   x = 1,176.30