Finding the Fourth Proportional to 10,678.64, 16,010.60 and 5,743.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,678.64 : 16,010.60 = 5,743.31 : x
2. Step 2: Convert to fraction form
   10,678.64/16,010.60 = 5,743.31/x
3. Step 3: Cross multiply
   10,678.64x = 16,010.60 × 5,743.31
4. Step 4: Simplify right side
   10,678.64x = 91,953,730.32
5. Step 5: Solve for x
   x = 91,953,730.32/10,678.64
6. Step 6: Final answer
   x = 8,611.00