Finding the Fourth Proportional to 7,758.40, 10,706.72 and 4,221.68

Step by Step Solution

1. Step 1: Write the proportion equation
   7,758.40 : 10,706.72 = 4,221.68 : x
2. Step 2: Convert to fraction form
   7,758.40/10,706.72 = 4,221.68/x
3. Step 3: Cross multiply
   7,758.40x = 10,706.72 × 4,221.68
4. Step 4: Simplify right side
   7,758.40x = 45,200,345.69
5. Step 5: Solve for x
   x = 45,200,345.69/7,758.40
6. Step 6: Final answer
   x = 5,825.99