Finding the Fourth Proportional to 1,364.64, 2,047.20 and 498.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,364.64 : 2,047.20 = 498.72 : x
2. Step 2: Convert to fraction form
   1,364.64/2,047.20 = 498.72/x
3. Step 3: Cross multiply
   1,364.64x = 2,047.20 × 498.72
4. Step 4: Simplify right side
   1,364.64x = 1,020,979.58
5. Step 5: Solve for x
   x = 1,020,979.58/1,364.64
6. Step 6: Final answer
   x = 748.17