Finding the Fourth Proportional to 99.98, 150.05 and 35.86

Step by Step Solution

1. Step 1: Write the proportion equation
   99.98 : 150.05 = 35.86 : x
2. Step 2: Convert to fraction form
   99.98/150.05 = 35.86/x
3. Step 3: Cross multiply
   99.98x = 150.05 × 35.86
4. Step 4: Simplify right side
   99.98x = 5,380.79
5. Step 5: Solve for x
   x = 5,380.79/99.98
6. Step 6: Final answer
   x = 53.82