Finding the Fourth Proportional to 1,731.17, 2,596.71 and 498.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,731.17 : 2,596.71 = 498.56 : x
2. Step 2: Convert to fraction form
   1,731.17/2,596.71 = 498.56/x
3. Step 3: Cross multiply
   1,731.17x = 2,596.71 × 498.56
4. Step 4: Simplify right side
   1,731.17x = 1,294,602.75
5. Step 5: Solve for x
   x = 1,294,602.75/1,731.17
6. Step 6: Final answer
   x = 747.82