Finding the Fourth Proportional to 5,657.06, 7,808.34 and 3,978.86

Step by Step Solution

1. Step 1: Write the proportion equation
   5,657.06 : 7,808.34 = 3,978.86 : x
2. Step 2: Convert to fraction form
   5,657.06/7,808.34 = 3,978.86/x
3. Step 3: Cross multiply
   5,657.06x = 7,808.34 × 3,978.86
4. Step 4: Simplify right side
   5,657.06x = 31,068,291.69
5. Step 5: Solve for x
   x = 31,068,291.69/5,657.06
6. Step 6: Final answer
   x = 5,491.95