Finding the Fourth Proportional to 7,757.89, 10,706.12 and 4,221.33

Step by Step Solution

1. Step 1: Write the proportion equation
   7,757.89 : 10,706.12 = 4,221.33 : x
2. Step 2: Convert to fraction form
   7,757.89/10,706.12 = 4,221.33/x
3. Step 3: Cross multiply
   7,757.89x = 10,706.12 × 4,221.33
4. Step 4: Simplify right side
   7,757.89x = 45,194,092.30
5. Step 5: Solve for x
   x = 45,194,092.30/7,757.89
6. Step 6: Final answer
   x = 5,825.56