Finding the Fourth Proportional to 10,019.07, 13,827.35 and 5,770.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019.07 : 13,827.35 = 5,770.27 : x
2. Step 2: Convert to fraction form
   10,019.07/13,827.35 = 5,770.27/x
3. Step 3: Cross multiply
   10,019.07x = 13,827.35 × 5,770.27
4. Step 4: Simplify right side
   10,019.07x = 79,787,542.88
5. Step 5: Solve for x
   x = 79,787,542.88/10,019.07
6. Step 6: Final answer
   x = 7,963.57