Finding the Fourth Proportional to 10,609.37, 14,641.18 and 5,829.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,609.37 : 14,641.18 = 5,829.56 : x
2. Step 2: Convert to fraction form
   10,609.37/14,641.18 = 5,829.56/x
3. Step 3: Cross multiply
   10,609.37x = 14,641.18 × 5,829.56
4. Step 4: Simplify right side
   10,609.37x = 85,351,659.31
5. Step 5: Solve for x
   x = 85,351,659.31/10,609.37
6. Step 6: Final answer
   x = 8,044.93