Finding the Fourth Proportional to 116.86, 175.31 and 35.69

Step by Step Solution

1. Step 1: Write the proportion equation
   116.86 : 175.31 = 35.69 : x
2. Step 2: Convert to fraction form
   116.86/175.31 = 35.69/x
3. Step 3: Cross multiply
   116.86x = 175.31 × 35.69
4. Step 4: Simplify right side
   116.86x = 6,255.89
5. Step 5: Solve for x
   x = 6,255.89/116.86
6. Step 6: Final answer
   x = 53.53