Finding the Fourth Proportional to 25,196.16, 37,792.88 and 7,664.63

Step by Step Solution

1. Step 1: Write the proportion equation
   25,196.16 : 37,792.88 = 7,664.63 : x
2. Step 2: Convert to fraction form
   25,196.16/37,792.88 = 7,664.63/x
3. Step 3: Cross multiply
   25,196.16x = 37,792.88 × 7,664.63
4. Step 4: Simplify right side
   25,196.16x = 289,668,243.29
5. Step 5: Solve for x
   x = 289,668,243.29/25,196.16
6. Step 6: Final answer
   x = 11,496.52