Finding the Fourth Proportional to 10,746.89, 16,111.98 and 5,121.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,746.89 : 16,111.98 = 5,121.65 : x
2. Step 2: Convert to fraction form
   10,746.89/16,111.98 = 5,121.65/x
3. Step 3: Cross multiply
   10,746.89x = 16,111.98 × 5,121.65
4. Step 4: Simplify right side
   10,746.89x = 82,519,872.02
5. Step 5: Solve for x
   x = 82,519,872.02/10,746.89
6. Step 6: Final answer
   x = 7,678.49