Finding the Fourth Proportional to 1,156.42, 1,735.86 and 498.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,156.42 : 1,735.86 = 498.62 : x
2. Step 2: Convert to fraction form
   1,156.42/1,735.86 = 498.62/x
3. Step 3: Cross multiply
   1,156.42x = 1,735.86 × 498.62
4. Step 4: Simplify right side
   1,156.42x = 865,523.34
5. Step 5: Solve for x
   x = 865,523.34/1,156.42
6. Step 6: Final answer
   x = 748.45