Finding the Fourth Proportional to 9,665.34, 14,500.17 and 3,091.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.34 : 14,500.17 = 3,091.92 : x
2. Step 2: Convert to fraction form
   9,665.34/14,500.17 = 3,091.92/x
3. Step 3: Cross multiply
   9,665.34x = 14,500.17 × 3,091.92
4. Step 4: Simplify right side
   9,665.34x = 44,833,365.63
5. Step 5: Solve for x
   x = 44,833,365.63/9,665.34
6. Step 6: Final answer
   x = 4,638.57