Finding the Fourth Proportional to 7,758.59, 10,706.85 and 4,221.72

Step by Step Solution

1. Step 1: Write the proportion equation
   7,758.59 : 10,706.85 = 4,221.72 : x
2. Step 2: Convert to fraction form
   7,758.59/10,706.85 = 4,221.72/x
3. Step 3: Cross multiply
   7,758.59x = 10,706.85 × 4,221.72
4. Step 4: Simplify right side
   7,758.59x = 45,201,322.78
5. Step 5: Solve for x
   x = 45,201,322.78/7,758.59
6. Step 6: Final answer
   x = 5,825.98