Finding the Fourth Proportional to 10,742.34, 16,118.10 and 5,815.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,742.34 : 16,118.10 = 5,815.47 : x
2. Step 2: Convert to fraction form
   10,742.34/16,118.10 = 5,815.47/x
3. Step 3: Cross multiply
   10,742.34x = 16,118.10 × 5,815.47
4. Step 4: Simplify right side
   10,742.34x = 93,734,327.01
5. Step 5: Solve for x
   x = 93,734,327.01/10,742.34
6. Step 6: Final answer
   x = 8,725.69