Finding the Fourth Proportional to 9,665.16, 14,499.76 and 3,091.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.16 : 14,499.76 = 3,091.92 : x
2. Step 2: Convert to fraction form
   9,665.16/14,499.76 = 3,091.92/x
3. Step 3: Cross multiply
   9,665.16x = 14,499.76 × 3,091.92
4. Step 4: Simplify right side
   9,665.16x = 44,832,097.94
5. Step 5: Solve for x
   x = 44,832,097.94/9,665.16
6. Step 6: Final answer
   x = 4,638.53