Finding the Fourth Proportional to 1,731.60, 2,597.50 and 498.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,731.60 : 2,597.50 = 498.98 : x
2. Step 2: Convert to fraction form
   1,731.60/2,597.50 = 498.98/x
3. Step 3: Cross multiply
   1,731.60x = 2,597.50 × 498.98
4. Step 4: Simplify right side
   1,731.60x = 1,296,100.55
5. Step 5: Solve for x
   x = 1,296,100.55/1,731.60
6. Step 6: Final answer
   x = 748.50