Finding the Fourth Proportional to 25,614.82, 38,417.91 and 7,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,614.82 : 38,417.91 = 7,142.50 : x
2. Step 2: Convert to fraction form
   25,614.82/38,417.91 = 7,142.50/x
3. Step 3: Cross multiply
   25,614.82x = 38,417.91 × 7,142.50
4. Step 4: Simplify right side
   25,614.82x = 274,399,922.18
5. Step 5: Solve for x
   x = 274,399,922.18/25,614.82
6. Step 6: Final answer
   x = 10,712.55