Finding the Fourth Proportional to 1,196.02, 1,792.75 and 852.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.02 : 1,792.75 = 852.98 : x
2. Step 2: Convert to fraction form
   1,196.02/1,792.75 = 852.98/x
3. Step 3: Cross multiply
   1,196.02x = 1,792.75 × 852.98
4. Step 4: Simplify right side
   1,196.02x = 1,529,179.90
5. Step 5: Solve for x
   x = 1,529,179.90/1,196.02
6. Step 6: Final answer
   x = 1,278.56