Finding the Fourth Proportional to 9,665.31, 14,500.53 and 3,091.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.31 : 14,500.53 = 3,091.62 : x
2. Step 2: Convert to fraction form
   9,665.31/14,500.53 = 3,091.62/x
3. Step 3: Cross multiply
   9,665.31x = 14,500.53 × 3,091.62
4. Step 4: Simplify right side
   9,665.31x = 44,830,128.56
5. Step 5: Solve for x
   x = 44,830,128.56/9,665.31
6. Step 6: Final answer
   x = 4,638.25