Finding the Fourth Proportional to 1,156.40, 1,733.30 and 498.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,156.40 : 1,733.30 = 498.10 : x
2. Step 2: Convert to fraction form
   1,156.40/1,733.30 = 498.10/x
3. Step 3: Cross multiply
   1,156.40x = 1,733.30 × 498.10
4. Step 4: Simplify right side
   1,156.40x = 863,356.73
5. Step 5: Solve for x
   x = 863,356.73/1,156.40
6. Step 6: Final answer
   x = 746.59