Finding the Fourth Proportional to 10,077.39, 13,906.50 and 5,770.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.39 : 13,906.50 = 5,770.34 : x
2. Step 2: Convert to fraction form
   10,077.39/13,906.50 = 5,770.34/x
3. Step 3: Cross multiply
   10,077.39x = 13,906.50 × 5,770.34
4. Step 4: Simplify right side
   10,077.39x = 80,245,142.04
5. Step 5: Solve for x
   x = 80,245,142.04/10,077.39
6. Step 6: Final answer
   x = 7,962.89