Finding the Fourth Proportional to 1,313.50, 1,969.89 and 492.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,313.50 : 1,969.89 = 492.10 : x
2. Step 2: Convert to fraction form
   1,313.50/1,969.89 = 492.10/x
3. Step 3: Cross multiply
   1,313.50x = 1,969.89 × 492.10
4. Step 4: Simplify right side
   1,313.50x = 969,382.87
5. Step 5: Solve for x
   x = 969,382.87/1,313.50
6. Step 6: Final answer
   x = 738.02