Finding the Fourth Proportional to 4,978.58, 6,869.48 and 3,406.10

Step by Step Solution

1. Step 1: Write the proportion equation
   4,978.58 : 6,869.48 = 3,406.10 : x
2. Step 2: Convert to fraction form
   4,978.58/6,869.48 = 3,406.10/x
3. Step 3: Cross multiply
   4,978.58x = 6,869.48 × 3,406.10
4. Step 4: Simplify right side
   4,978.58x = 23,398,135.83
5. Step 5: Solve for x
   x = 23,398,135.83/4,978.58
6. Step 6: Final answer
   x = 4,699.76