Finding the Fourth Proportional to 7,758.24, 10,706.25 and 4,221.42

Step by Step Solution

1. Step 1: Write the proportion equation
   7,758.24 : 10,706.25 = 4,221.42 : x
2. Step 2: Convert to fraction form
   7,758.24/10,706.25 = 4,221.42/x
3. Step 3: Cross multiply
   7,758.24x = 10,706.25 × 4,221.42
4. Step 4: Simplify right side
   7,758.24x = 45,195,577.88
5. Step 5: Solve for x
   x = 45,195,577.88/7,758.24
6. Step 6: Final answer
   x = 5,825.49