Finding the Fourth Proportional to 2,427.78, 3,642.06 and 784.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,427.78 : 3,642.06 = 784.86 : x
2. Step 2: Convert to fraction form
   2,427.78/3,642.06 = 784.86/x
3. Step 3: Cross multiply
   2,427.78x = 3,642.06 × 784.86
4. Step 4: Simplify right side
   2,427.78x = 2,858,507.21
5. Step 5: Solve for x
   x = 2,858,507.21/2,427.78
6. Step 6: Final answer
   x = 1,177.42