Finding the Fourth Proportional to 85.84, 128.72 and 37.74

Step by Step Solution

1. Step 1: Write the proportion equation
   85.84 : 128.72 = 37.74 : x
2. Step 2: Convert to fraction form
   85.84/128.72 = 37.74/x
3. Step 3: Cross multiply
   85.84x = 128.72 × 37.74
4. Step 4: Simplify right side
   85.84x = 4,857.89
5. Step 5: Solve for x
   x = 4,857.89/85.84
6. Step 6: Final answer
   x = 56.59