Finding the Fourth Proportional to 6,905.76, 10,350.42 and 3,978

Step by Step Solution

1. Step 1: Write the proportion equation
   6,905.76 : 10,350.42 = 3,978 : x
2. Step 2: Convert to fraction form
   6,905.76/10,350.42 = 3,978/x
3. Step 3: Cross multiply
   6,905.76x = 10,350.42 × 3,978
4. Step 4: Simplify right side
   6,905.76x = 41,173,970.76
5. Step 5: Solve for x
   x = 41,173,970.76/6,905.76
6. Step 6: Final answer
   x = 5,962.26