Finding the Fourth Proportional to 7,758.41, 10,706.58 and 4,221.59

Step by Step Solution

1. Step 1: Write the proportion equation
   7,758.41 : 10,706.58 = 4,221.59 : x
2. Step 2: Convert to fraction form
   7,758.41/10,706.58 = 4,221.59/x
3. Step 3: Cross multiply
   7,758.41x = 10,706.58 × 4,221.59
4. Step 4: Simplify right side
   7,758.41x = 45,198,817.83
5. Step 5: Solve for x
   x = 45,198,817.83/7,758.41
6. Step 6: Final answer
   x = 5,825.79