Finding the Fourth Proportional to 105.83, 145.64 and 91.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105.83 : 145.64 = 91.25 : x
2. Step 2: Convert to fraction form
   105.83/145.64 = 91.25/x
3. Step 3: Cross multiply
   105.83x = 145.64 × 91.25
4. Step 4: Simplify right side
   105.83x = 13,289.15
5. Step 5: Solve for x
   x = 13,289.15/105.83
6. Step 6: Final answer
   x = 125.58