Finding the Fourth Proportional to 1,196.10, 1,785.60 and 1,011.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.10 : 1,785.60 = 1,011.42 : x
2. Step 2: Convert to fraction form
   1,196.10/1,785.60 = 1,011.42/x
3. Step 3: Cross multiply
   1,196.10x = 1,785.60 × 1,011.42
4. Step 4: Simplify right side
   1,196.10x = 1,805,991.55
5. Step 5: Solve for x
   x = 1,805,991.55/1,196.10
6. Step 6: Final answer
   x = 1,509.90