Finding the Fourth Proportional to 10,077.14, 13,906.15 and 5,770.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.14 : 13,906.15 = 5,770.09 : x
2. Step 2: Convert to fraction form
   10,077.14/13,906.15 = 5,770.09/x
3. Step 3: Cross multiply
   10,077.14x = 13,906.15 × 5,770.09
4. Step 4: Simplify right side
   10,077.14x = 80,239,667.52
5. Step 5: Solve for x
   x = 80,239,667.52/10,077.14
6. Step 6: Final answer
   x = 7,962.55