Finding the Fourth Proportional to 25,774.83, 35,566.83 and 14,596.83

Step by Step Solution

1. Step 1: Write the proportion equation
   25,774.83 : 35,566.83 = 14,596.83 : x
2. Step 2: Convert to fraction form
   25,774.83/35,566.83 = 14,596.83/x
3. Step 3: Cross multiply
   25,774.83x = 35,566.83 × 14,596.83
4. Step 4: Simplify right side
   25,774.83x = 519,162,971.15
5. Step 5: Solve for x
   x = 519,162,971.15/25,774.83
6. Step 6: Final answer
   x = 20,142.25