Finding the Fourth Proportional to 25,564.50, 38,348.91 and 7,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,564.50 : 38,348.91 = 7,096.50 : x
2. Step 2: Convert to fraction form
   25,564.50/38,348.91 = 7,096.50/x
3. Step 3: Cross multiply
   25,564.50x = 38,348.91 × 7,096.50
4. Step 4: Simplify right side
   25,564.50x = 272,143,039.82
5. Step 5: Solve for x
   x = 272,143,039.82/25,564.50
6. Step 6: Final answer
   x = 10,645.35