Finding the Fourth Proportional to 99.55, 149.24 and 37.82

Step by Step Solution

1. Step 1: Write the proportion equation
   99.55 : 149.24 = 37.82 : x
2. Step 2: Convert to fraction form
   99.55/149.24 = 37.82/x
3. Step 3: Cross multiply
   99.55x = 149.24 × 37.82
4. Step 4: Simplify right side
   99.55x = 5,643.56
5. Step 5: Solve for x
   x = 5,643.56/99.55
6. Step 6: Final answer
   x = 56.69