Finding the Fourth Proportional to 105.61, 145.71 and 61.93

Step by Step Solution

1. Step 1: Write the proportion equation
   105.61 : 145.71 = 61.93 : x
2. Step 2: Convert to fraction form
   105.61/145.71 = 61.93/x
3. Step 3: Cross multiply
   105.61x = 145.71 × 61.93
4. Step 4: Simplify right side
   105.61x = 9,023.82
5. Step 5: Solve for x
   x = 9,023.82/105.61
6. Step 6: Final answer
   x = 85.44