Finding the Fourth Proportional to 1,196.06, 1,792.54 and 537.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.06 : 1,792.54 = 537.46 : x
2. Step 2: Convert to fraction form
   1,196.06/1,792.54 = 537.46/x
3. Step 3: Cross multiply
   1,196.06x = 1,792.54 × 537.46
4. Step 4: Simplify right side
   1,196.06x = 963,418.55
5. Step 5: Solve for x
   x = 963,418.55/1,196.06
6. Step 6: Final answer
   x = 805.49