Finding the Fourth Proportional to 305,057, 420,978.66 and 185,825

Step by Step Solution

1. Step 1: Write the proportion equation
   305,057 : 420,978.66 = 185,825 : x
2. Step 2: Convert to fraction form
   305,057/420,978.66 = 185,825/x
3. Step 3: Cross multiply
   305,057x = 420,978.66 × 185,825
4. Step 4: Simplify right side
   305,057x = 78,228,359,494.50
5. Step 5: Solve for x
   x = 78,228,359,494.50/305,057
6. Step 6: Final answer
   x = 256,438.50