Finding the Fourth Proportional to 10,222.32, 14,106.09 and 5,746.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.32 : 14,106.09 = 5,746.74 : x
2. Step 2: Convert to fraction form
   10,222.32/14,106.09 = 5,746.74/x
3. Step 3: Cross multiply
   10,222.32x = 14,106.09 × 5,746.74
4. Step 4: Simplify right side
   10,222.32x = 81,064,031.65
5. Step 5: Solve for x
   x = 81,064,031.65/10,222.32
6. Step 6: Final answer
   x = 7,930.10