Finding the Fourth Proportional to 7,758.46, 10,706.62 and 4,221.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,758.46 : 10,706.62 = 4,221.69 : x
2. Step 2: Convert to fraction form
   7,758.46/10,706.62 = 4,221.69/x
3. Step 3: Cross multiply
   7,758.46x = 10,706.62 × 4,221.69
4. Step 4: Simplify right side
   7,758.46x = 45,200,030.59
5. Step 5: Solve for x
   x = 45,200,030.59/7,758.46
6. Step 6: Final answer
   x = 5,825.90