Finding the Fourth Proportional to 1,588.72, 2,382.24 and 492.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,588.72 : 2,382.24 = 492.82 : x
2. Step 2: Convert to fraction form
   1,588.72/2,382.24 = 492.82/x
3. Step 3: Cross multiply
   1,588.72x = 2,382.24 × 492.82
4. Step 4: Simplify right side
   1,588.72x = 1,174,015.52
5. Step 5: Solve for x
   x = 1,174,015.52/1,588.72
6. Step 6: Final answer
   x = 738.97