Finding the Fourth Proportional to 10,731.64, 16,100.98 and 5,185.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,731.64 : 16,100.98 = 5,185.62 : x
2. Step 2: Convert to fraction form
   10,731.64/16,100.98 = 5,185.62/x
3. Step 3: Cross multiply
   10,731.64x = 16,100.98 × 5,185.62
4. Step 4: Simplify right side
   10,731.64x = 83,493,563.91
5. Step 5: Solve for x
   x = 83,493,563.91/10,731.64
6. Step 6: Final answer
   x = 7,780.13