Finding the Fourth Proportional to 10,019.37, 13,825.18 and 5,770.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019.37 : 13,825.18 = 5,770.62 : x
2. Step 2: Convert to fraction form
   10,019.37/13,825.18 = 5,770.62/x
3. Step 3: Cross multiply
   10,019.37x = 13,825.18 × 5,770.62
4. Step 4: Simplify right side
   10,019.37x = 79,779,867.42
5. Step 5: Solve for x
   x = 79,779,867.42/10,019.37
6. Step 6: Final answer
   x = 7,962.56