Finding the Fourth Proportional to 1,587.50, 2,381.50 and 492.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,587.50 : 2,381.50 = 492.10 : x
2. Step 2: Convert to fraction form
   1,587.50/2,381.50 = 492.10/x
3. Step 3: Cross multiply
   1,587.50x = 2,381.50 × 492.10
4. Step 4: Simplify right side
   1,587.50x = 1,171,936.15
5. Step 5: Solve for x
   x = 1,171,936.15/1,587.50
6. Step 6: Final answer
   x = 738.23