Finding the Fourth Proportional to 256,667.50, 385,066.87 and 106,858.00

Step by Step Solution

1. Step 1: Write the proportion equation
   256,667.50 : 385,066.87 = 106,858.00 : x
2. Step 2: Convert to fraction form
   256,667.50/385,066.87 = 106,858.00/x
3. Step 3: Cross multiply
   256,667.50x = 385,066.87 × 106,858.00
4. Step 4: Simplify right side
   256,667.50x = 41,147,474,364.65
5. Step 5: Solve for x
   x = 41,147,474,364.65/256,667.50
6. Step 6: Final answer
   x = 160,314.32