Finding the Fourth Proportional to 7,758.52, 10,706.98 and 4,221.96

Step by Step Solution

1. Step 1: Write the proportion equation
   7,758.52 : 10,706.98 = 4,221.96 : x
2. Step 2: Convert to fraction form
   7,758.52/10,706.98 = 4,221.96/x
3. Step 3: Cross multiply
   7,758.52x = 10,706.98 × 4,221.96
4. Step 4: Simplify right side
   7,758.52x = 45,204,441.28
5. Step 5: Solve for x
   x = 45,204,441.28/7,758.52
6. Step 6: Final answer
   x = 5,826.43