Finding the Fourth Proportional to 1,456.56, 2,185.20 and 1,199.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.56 : 2,185.20 = 1,199.52 : x
2. Step 2: Convert to fraction form
   1,456.56/2,185.20 = 1,199.52/x
3. Step 3: Cross multiply
   1,456.56x = 2,185.20 × 1,199.52
4. Step 4: Simplify right side
   1,456.56x = 2,621,191.10
5. Step 5: Solve for x
   x = 2,621,191.10/1,456.56
6. Step 6: Final answer
   x = 1,799.58