Finding the Fourth Proportional to 10,222.72, 14,106.40 and 5,746.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.72 : 14,106.40 = 5,746.08 : x
2. Step 2: Convert to fraction form
   10,222.72/14,106.40 = 5,746.08/x
3. Step 3: Cross multiply
   10,222.72x = 14,106.40 × 5,746.08
4. Step 4: Simplify right side
   10,222.72x = 81,056,502.91
5. Step 5: Solve for x
   x = 81,056,502.91/10,222.72
6. Step 6: Final answer
   x = 7,929.05