Finding the Fourth Proportional to 25,766, 35,557.80 and 14,588.72

Step by Step Solution

1. Step 1: Write the proportion equation
   25,766 : 35,557.80 = 14,588.72 : x
2. Step 2: Convert to fraction form
   25,766/35,557.80 = 14,588.72/x
3. Step 3: Cross multiply
   25,766x = 35,557.80 × 14,588.72
4. Step 4: Simplify right side
   25,766x = 518,742,788.02
5. Step 5: Solve for x
   x = 518,742,788.02/25,766
6. Step 6: Final answer
   x = 20,132.84