Finding the Fourth Proportional to 3,875.78, 5,346.19 and 3,379.61

Step by Step Solution

1. Step 1: Write the proportion equation
   3,875.78 : 5,346.19 = 3,379.61 : x
2. Step 2: Convert to fraction form
   3,875.78/5,346.19 = 3,379.61/x
3. Step 3: Cross multiply
   3,875.78x = 5,346.19 × 3,379.61
4. Step 4: Simplify right side
   3,875.78x = 18,068,005.69
5. Step 5: Solve for x
   x = 18,068,005.69/3,875.78
6. Step 6: Final answer
   x = 4,661.77