Finding the Fourth Proportional to 10,019.62, 13,828.11 and 5,770.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019.62 : 13,828.11 = 5,770.83 : x
2. Step 2: Convert to fraction form
   10,019.62/13,828.11 = 5,770.83/x
3. Step 3: Cross multiply
   10,019.62x = 13,828.11 × 5,770.83
4. Step 4: Simplify right side
   10,019.62x = 79,799,672.03
5. Step 5: Solve for x
   x = 79,799,672.03/10,019.62
6. Step 6: Final answer
   x = 7,964.34