Finding the Fourth Proportional to 10,609.51, 14,640.63 and 5,894.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,609.51 : 14,640.63 = 5,894.10 : x
2. Step 2: Convert to fraction form
   10,609.51/14,640.63 = 5,894.10/x
3. Step 3: Cross multiply
   10,609.51x = 14,640.63 × 5,894.10
4. Step 4: Simplify right side
   10,609.51x = 86,293,337.28
5. Step 5: Solve for x
   x = 86,293,337.28/10,609.51
6. Step 6: Final answer
   x = 8,133.58