Finding the Fourth Proportional to 25,585.82, 38,323.18 and 12,410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,585.82 : 38,323.18 = 12,410.50 : x
2. Step 2: Convert to fraction form
   25,585.82/38,323.18 = 12,410.50/x
3. Step 3: Cross multiply
   25,585.82x = 38,323.18 × 12,410.50
4. Step 4: Simplify right side
   25,585.82x = 475,609,825.39
5. Step 5: Solve for x
   x = 475,609,825.39/25,585.82
6. Step 6: Final answer
   x = 18,588.81