Finding the Fourth Proportional to 10,141.96, 15,200.38 and 5,746.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.96 : 15,200.38 = 5,746.09 : x
2. Step 2: Convert to fraction form
   10,141.96/15,200.38 = 5,746.09/x
3. Step 3: Cross multiply
   10,141.96x = 15,200.38 × 5,746.09
4. Step 4: Simplify right side
   10,141.96x = 87,342,751.51
5. Step 5: Solve for x
   x = 87,342,751.51/10,141.96
6. Step 6: Final answer
   x = 8,612.02