Finding the Fourth Proportional to 9,590.96, 14,371.52 and 3,664.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,590.96 : 14,371.52 = 3,664.62 : x
2. Step 2: Convert to fraction form
   9,590.96/14,371.52 = 3,664.62/x
3. Step 3: Cross multiply
   9,590.96x = 14,371.52 × 3,664.62
4. Step 4: Simplify right side
   9,590.96x = 52,666,087.76
5. Step 5: Solve for x
   x = 52,666,087.76/9,590.96
6. Step 6: Final answer
   x = 5,491.22