Finding the Fourth Proportional to 25,097.10, 34,633.77 and 13,766.37

Step by Step Solution

1. Step 1: Write the proportion equation
   25,097.10 : 34,633.77 = 13,766.37 : x
2. Step 2: Convert to fraction form
   25,097.10/34,633.77 = 13,766.37/x
3. Step 3: Cross multiply
   25,097.10x = 34,633.77 × 13,766.37
4. Step 4: Simplify right side
   25,097.10x = 476,781,292.31
5. Step 5: Solve for x
   x = 476,781,292.31/25,097.10
6. Step 6: Final answer
   x = 18,997.47