Finding the Fourth Proportional to 1,147.86, 1,721.82 and 498.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.86 : 1,721.82 = 498.12 : x
2. Step 2: Convert to fraction form
   1,147.86/1,721.82 = 498.12/x
3. Step 3: Cross multiply
   1,147.86x = 1,721.82 × 498.12
4. Step 4: Simplify right side
   1,147.86x = 857,672.98
5. Step 5: Solve for x
   x = 857,672.98/1,147.86
6. Step 6: Final answer
   x = 747.19