Finding the Fourth Proportional to 10,609.57, 14,641.73 and 5,893.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,609.57 : 14,641.73 = 5,893.75 : x
2. Step 2: Convert to fraction form
   10,609.57/14,641.73 = 5,893.75/x
3. Step 3: Cross multiply
   10,609.57x = 14,641.73 × 5,893.75
4. Step 4: Simplify right side
   10,609.57x = 86,294,666.72
5. Step 5: Solve for x
   x = 86,294,666.72/10,609.57
6. Step 6: Final answer
   x = 8,133.66