Finding the Fourth Proportional to 1,196.37, 1,792.53 and 546.21

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.37 : 1,792.53 = 546.21 : x
2. Step 2: Convert to fraction form
   1,196.37/1,792.53 = 546.21/x
3. Step 3: Cross multiply
   1,196.37x = 1,792.53 × 546.21
4. Step 4: Simplify right side
   1,196.37x = 979,097.81
5. Step 5: Solve for x
   x = 979,097.81/1,196.37
6. Step 6: Final answer
   x = 818.39