Finding the Fourth Proportional to 401.39, 602.00 and 184.91

Step by Step Solution

1. Step 1: Write the proportion equation
   401.39 : 602.00 = 184.91 : x
2. Step 2: Convert to fraction form
   401.39/602.00 = 184.91/x
3. Step 3: Cross multiply
   401.39x = 602.00 × 184.91
4. Step 4: Simplify right side
   401.39x = 111,311.89
5. Step 5: Solve for x
   x = 111,311.89/401.39
6. Step 6: Final answer
   x = 277.32