Finding the Fourth Proportional to 5,641.38, 7,788.15 and 3,875.58

Step by Step Solution

1. Step 1: Write the proportion equation
   5,641.38 : 7,788.15 = 3,875.58 : x
2. Step 2: Convert to fraction form
   5,641.38/7,788.15 = 3,875.58/x
3. Step 3: Cross multiply
   5,641.38x = 7,788.15 × 3,875.58
4. Step 4: Simplify right side
   5,641.38x = 30,183,598.38
5. Step 5: Solve for x
   x = 30,183,598.38/5,641.38
6. Step 6: Final answer
   x = 5,350.39