Finding the Fourth Proportional to 25,196.04, 37,791.63 and 7,666.02

Step by Step Solution

1. Step 1: Write the proportion equation
   25,196.04 : 37,791.63 = 7,666.02 : x
2. Step 2: Convert to fraction form
   25,196.04/37,791.63 = 7,666.02/x
3. Step 3: Cross multiply
   25,196.04x = 37,791.63 × 7,666.02
4. Step 4: Simplify right side
   25,196.04x = 289,711,391.41
5. Step 5: Solve for x
   x = 289,711,391.41/25,196.04
6. Step 6: Final answer
   x = 11,498.29