Finding the Fourth Proportional to 10,019.57, 13,828.04 and 5,770.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019.57 : 13,828.04 = 5,770.77 : x
2. Step 2: Convert to fraction form
   10,019.57/13,828.04 = 5,770.77/x
3. Step 3: Cross multiply
   10,019.57x = 13,828.04 × 5,770.77
4. Step 4: Simplify right side
   10,019.57x = 79,798,438.39
5. Step 5: Solve for x
   x = 79,798,438.39/10,019.57
6. Step 6: Final answer
   x = 7,964.26