Finding the Fourth Proportional to 1,196.64, 1,792.94 and 1,065.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.64 : 1,792.94 = 1,065.42 : x
2. Step 2: Convert to fraction form
   1,196.64/1,792.94 = 1,065.42/x
3. Step 3: Cross multiply
   1,196.64x = 1,792.94 × 1,065.42
4. Step 4: Simplify right side
   1,196.64x = 1,910,228.81
5. Step 5: Solve for x
   x = 1,910,228.81/1,196.64
6. Step 6: Final answer
   x = 1,596.33