Finding the Fourth Proportional to 109.94, 152.00 and 85.56

Step by Step Solution

1. Step 1: Write the proportion equation
   109.94 : 152.00 = 85.56 : x
2. Step 2: Convert to fraction form
   109.94/152.00 = 85.56/x
3. Step 3: Cross multiply
   109.94x = 152.00 × 85.56
4. Step 4: Simplify right side
   109.94x = 13,004.69
5. Step 5: Solve for x
   x = 13,004.69/109.94
6. Step 6: Final answer
   x = 118.29