Finding the Fourth Proportional to 205,152.82, 283,111.22 and 114,508.78

Step by Step Solution

1. Step 1: Write the proportion equation
   205,152.82 : 283,111.22 = 114,508.78 : x
2. Step 2: Convert to fraction form
   205,152.82/283,111.22 = 114,508.78/x
3. Step 3: Cross multiply
   205,152.82x = 283,111.22 × 114,508.78
4. Step 4: Simplify right side
   205,152.82x = 32,418,720,406.51
5. Step 5: Solve for x
   x = 32,418,720,406.51/205,152.82
6. Step 6: Final answer
   x = 158,022.30