Finding the Fourth Proportional to 1,152.02, 1,727.58 and 401.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.02 : 1,727.58 = 401.34 : x
2. Step 2: Convert to fraction form
   1,152.02/1,727.58 = 401.34/x
3. Step 3: Cross multiply
   1,152.02x = 1,727.58 × 401.34
4. Step 4: Simplify right side
   1,152.02x = 693,346.96
5. Step 5: Solve for x
   x = 693,346.96/1,152.02
6. Step 6: Final answer
   x = 601.85