Finding the Fourth Proportional to 1,588.52, 2,383.15 and 492.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,588.52 : 2,383.15 = 492.83 : x
2. Step 2: Convert to fraction form
   1,588.52/2,383.15 = 492.83/x
3. Step 3: Cross multiply
   1,588.52x = 2,383.15 × 492.83
4. Step 4: Simplify right side
   1,588.52x = 1,174,475.90
5. Step 5: Solve for x
   x = 1,174,475.90/1,588.52
6. Step 6: Final answer
   x = 739.35