Finding the Fourth Proportional to 10,609.94, 14,641.33 and 5,894.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,609.94 : 14,641.33 = 5,894.53 : x
2. Step 2: Convert to fraction form
   10,609.94/14,641.33 = 5,894.53/x
3. Step 3: Cross multiply
   10,609.94x = 14,641.33 × 5,894.53
4. Step 4: Simplify right side
   10,609.94x = 86,303,758.92
5. Step 5: Solve for x
   x = 86,303,758.92/10,609.94
6. Step 6: Final answer
   x = 8,134.24