Finding the Fourth Proportional to 10,609.32, 14,641.38 and 5,893.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,609.32 : 14,641.38 = 5,893.50 : x
2. Step 2: Convert to fraction form
   10,609.32/14,641.38 = 5,893.50/x
3. Step 3: Cross multiply
   10,609.32x = 14,641.38 × 5,893.50
4. Step 4: Simplify right side
   10,609.32x = 86,288,973.03
5. Step 5: Solve for x
   x = 86,288,973.03/10,609.32
6. Step 6: Final answer
   x = 8,133.32