Finding the Fourth Proportional to 1,208.72, 1,655.22 and 1,142.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,208.72 : 1,655.22 = 1,142.12 : x
2. Step 2: Convert to fraction form
   1,208.72/1,655.22 = 1,142.12/x
3. Step 3: Cross multiply
   1,208.72x = 1,655.22 × 1,142.12
4. Step 4: Simplify right side
   1,208.72x = 1,890,459.87
5. Step 5: Solve for x
   x = 1,890,459.87/1,208.72
6. Step 6: Final answer
   x = 1,564.02