Finding the Fourth Proportional to 257,664.10, 386,498.20 and 105,822.05

Step by Step Solution

1. Step 1: Write the proportion equation
   257,664.10 : 386,498.20 = 105,822.05 : x
2. Step 2: Convert to fraction form
   257,664.10/386,498.20 = 105,822.05/x
3. Step 3: Cross multiply
   257,664.10x = 386,498.20 × 105,822.05
4. Step 4: Simplify right side
   257,664.10x = 40,900,033,107.76
5. Step 5: Solve for x
   x = 40,900,033,107.76/257,664.10
6. Step 6: Final answer
   x = 158,733.92