Finding the Fourth Proportional to 10,019.52, 13,825.72 and 5,770.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019.52 : 13,825.72 = 5,770.68 : x
2. Step 2: Convert to fraction form
   10,019.52/13,825.72 = 5,770.68/x
3. Step 3: Cross multiply
   10,019.52x = 13,825.72 × 5,770.68
4. Step 4: Simplify right side
   10,019.52x = 79,783,805.89
5. Step 5: Solve for x
   x = 79,783,805.89/10,019.52
6. Step 6: Final answer
   x = 7,962.84