Finding the Fourth Proportional to 1,147.86, 1,722.15 and 498.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.86 : 1,722.15 = 498.60 : x
2. Step 2: Convert to fraction form
   1,147.86/1,722.15 = 498.60/x
3. Step 3: Cross multiply
   1,147.86x = 1,722.15 × 498.60
4. Step 4: Simplify right side
   1,147.86x = 858,663.99
5. Step 5: Solve for x
   x = 858,663.99/1,147.86
6. Step 6: Final answer
   x = 748.06