Finding the Fourth Proportional to 10,222.82, 14,106.85 and 5,746.51

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.82 : 14,106.85 = 5,746.51 : x
2. Step 2: Convert to fraction form
   10,222.82/14,106.85 = 5,746.51/x
3. Step 3: Cross multiply
   10,222.82x = 14,106.85 × 5,746.51
4. Step 4: Simplify right side
   10,222.82x = 81,065,104.96
5. Step 5: Solve for x
   x = 81,065,104.96/10,222.82
6. Step 6: Final answer
   x = 7,929.82