Finding the Fourth Proportional to 9,772.16, 14,658.69 and 3,109.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,772.16 : 14,658.69 = 3,109.32 : x
2. Step 2: Convert to fraction form
   9,772.16/14,658.69 = 3,109.32/x
3. Step 3: Cross multiply
   9,772.16x = 14,658.69 × 3,109.32
4. Step 4: Simplify right side
   9,772.16x = 45,578,569.65
5. Step 5: Solve for x
   x = 45,578,569.65/9,772.16
6. Step 6: Final answer
   x = 4,664.13