Finding the Fourth Proportional to 2,427.08, 3,638.39 and 782.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,427.08 : 3,638.39 = 782.78 : x
2. Step 2: Convert to fraction form
   2,427.08/3,638.39 = 782.78/x
3. Step 3: Cross multiply
   2,427.08x = 3,638.39 × 782.78
4. Step 4: Simplify right side
   2,427.08x = 2,848,036.82
5. Step 5: Solve for x
   x = 2,848,036.82/2,427.08
6. Step 6: Final answer
   x = 1,173.44