Finding the Fourth Proportional to 981.72, 1,471.50 and 494.10

Step by Step Solution

1. Step 1: Write the proportion equation
   981.72 : 1,471.50 = 494.10 : x
2. Step 2: Convert to fraction form
   981.72/1,471.50 = 494.10/x
3. Step 3: Cross multiply
   981.72x = 1,471.50 × 494.10
4. Step 4: Simplify right side
   981.72x = 727,068.15
5. Step 5: Solve for x
   x = 727,068.15/981.72
6. Step 6: Final answer
   x = 740.61