Finding the Fourth Proportional to 256,667.19, 385,066.39 and 106,857.69

Step by Step Solution

1. Step 1: Write the proportion equation
   256,667.19 : 385,066.39 = 106,857.69 : x
2. Step 2: Convert to fraction form
   256,667.19/385,066.39 = 106,857.69/x
3. Step 3: Cross multiply
   256,667.19x = 385,066.39 × 106,857.69
4. Step 4: Simplify right side
   256,667.19x = 41,147,304,932.04
5. Step 5: Solve for x
   x = 41,147,304,932.04/256,667.19
6. Step 6: Final answer
   x = 160,313.85