Finding the Fourth Proportional to 7,758.91, 10,707.27 and 4,222.10

Step by Step Solution

1. Step 1: Write the proportion equation
   7,758.91 : 10,707.27 = 4,222.10 : x
2. Step 2: Convert to fraction form
   7,758.91/10,707.27 = 4,222.10/x
3. Step 3: Cross multiply
   7,758.91x = 10,707.27 × 4,222.10
4. Step 4: Simplify right side
   7,758.91x = 45,207,111.13
5. Step 5: Solve for x
   x = 45,207,111.13/7,758.91
6. Step 6: Final answer
   x = 5,826.48