Finding the Fourth Proportional to 10,906.84, 16,352.70 and 5,978.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,906.84 : 16,352.70 = 5,978.80 : x
2. Step 2: Convert to fraction form
   10,906.84/16,352.70 = 5,978.80/x
3. Step 3: Cross multiply
   10,906.84x = 16,352.70 × 5,978.80
4. Step 4: Simplify right side
   10,906.84x = 97,769,522.76
5. Step 5: Solve for x
   x = 97,769,522.76/10,906.84
6. Step 6: Final answer
   x = 8,964.06