Finding the Fourth Proportional to 5,098.38, 7,642.64 and 2,788.26

Step by Step Solution

1. Step 1: Write the proportion equation
   5,098.38 : 7,642.64 = 2,788.26 : x
2. Step 2: Convert to fraction form
   5,098.38/7,642.64 = 2,788.26/x
3. Step 3: Cross multiply
   5,098.38x = 7,642.64 × 2,788.26
4. Step 4: Simplify right side
   5,098.38x = 21,309,667.41
5. Step 5: Solve for x
   x = 21,309,667.41/5,098.38
6. Step 6: Final answer
   x = 4,179.69