Finding the Fourth Proportional to 1,324.50, 1,827.72 and 735.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,324.50 : 1,827.72 = 735.06 : x
2. Step 2: Convert to fraction form
   1,324.50/1,827.72 = 735.06/x
3. Step 3: Cross multiply
   1,324.50x = 1,827.72 × 735.06
4. Step 4: Simplify right side
   1,324.50x = 1,343,483.86
5. Step 5: Solve for x
   x = 1,343,483.86/1,324.50
6. Step 6: Final answer
   x = 1,014.33