Finding the Fourth Proportional to 256,499.55, 384,541.79 and 106,852.25

Step by Step Solution

1. Step 1: Write the proportion equation
   256,499.55 : 384,541.79 = 106,852.25 : x
2. Step 2: Convert to fraction form
   256,499.55/384,541.79 = 106,852.25/x
3. Step 3: Cross multiply
   256,499.55x = 384,541.79 × 106,852.25
4. Step 4: Simplify right side
   256,499.55x = 41,089,155,480.53
5. Step 5: Solve for x
   x = 41,089,155,480.53/256,499.55
6. Step 6: Final answer
   x = 160,191.92