Finding the Fourth Proportional to 1,588.72, 2,383.50 and 493.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,588.72 : 2,383.50 = 493.12 : x
2. Step 2: Convert to fraction form
   1,588.72/2,383.50 = 493.12/x
3. Step 3: Cross multiply
   1,588.72x = 2,383.50 × 493.12
4. Step 4: Simplify right side
   1,588.72x = 1,175,351.52
5. Step 5: Solve for x
   x = 1,175,351.52/1,588.72
6. Step 6: Final answer
   x = 739.81