Finding the Fourth Proportional to 10,609.76, 14,641.52 and 5,894.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,609.76 : 14,641.52 = 5,894.48 : x
2. Step 2: Convert to fraction form
   10,609.76/14,641.52 = 5,894.48/x
3. Step 3: Cross multiply
   10,609.76x = 14,641.52 × 5,894.48
4. Step 4: Simplify right side
   10,609.76x = 86,304,146.81
5. Step 5: Solve for x
   x = 86,304,146.81/10,609.76
6. Step 6: Final answer
   x = 8,134.41