Finding the Fourth Proportional to 102.83, 141.89 and 78.32

Step by Step Solution

1. Step 1: Write the proportion equation
   102.83 : 141.89 = 78.32 : x
2. Step 2: Convert to fraction form
   102.83/141.89 = 78.32/x
3. Step 3: Cross multiply
   102.83x = 141.89 × 78.32
4. Step 4: Simplify right side
   102.83x = 11,112.79
5. Step 5: Solve for x
   x = 11,112.79/102.83
6. Step 6: Final answer
   x = 108.07