Finding the Fourth Proportional to 7,758.54, 10,706.58 and 4,221.78

Step by Step Solution

1. Step 1: Write the proportion equation
   7,758.54 : 10,706.58 = 4,221.78 : x
2. Step 2: Convert to fraction form
   7,758.54/10,706.58 = 4,221.78/x
3. Step 3: Cross multiply
   7,758.54x = 10,706.58 × 4,221.78
4. Step 4: Simplify right side
   7,758.54x = 45,200,825.31
5. Step 5: Solve for x
   x = 45,200,825.31/7,758.54
6. Step 6: Final answer
   x = 5,825.94