Finding the Fourth Proportional to 205,667.37, 283,818.94 and 115,022.30

Step by Step Solution

1. Step 1: Write the proportion equation
   205,667.37 : 283,818.94 = 115,022.30 : x
2. Step 2: Convert to fraction form
   205,667.37/283,818.94 = 115,022.30/x
3. Step 3: Cross multiply
   205,667.37x = 283,818.94 × 115,022.30
4. Step 4: Simplify right side
   205,667.37x = 32,645,505,555.71
5. Step 5: Solve for x
   x = 32,645,505,555.71/205,667.37
6. Step 6: Final answer
   x = 158,729.63