Finding the Fourth Proportional to 105.34, 157.86 and 59.09

Step by Step Solution

1. Step 1: Write the proportion equation
   105.34 : 157.86 = 59.09 : x
2. Step 2: Convert to fraction form
   105.34/157.86 = 59.09/x
3. Step 3: Cross multiply
   105.34x = 157.86 × 59.09
4. Step 4: Simplify right side
   105.34x = 9,327.95
5. Step 5: Solve for x
   x = 9,327.95/105.34
6. Step 6: Final answer
   x = 88.55