Finding the Fourth Proportional to 105.08, 157.32 and 78.15

Step by Step Solution

1. Step 1: Write the proportion equation
   105.08 : 157.32 = 78.15 : x
2. Step 2: Convert to fraction form
   105.08/157.32 = 78.15/x
3. Step 3: Cross multiply
   105.08x = 157.32 × 78.15
4. Step 4: Simplify right side
   105.08x = 12,294.17
5. Step 5: Solve for x
   x = 12,294.17/105.08
6. Step 6: Final answer
   x = 117.00