Finding the Fourth Proportional to 1,142.92, 1,577.23 and 645.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.92 : 1,577.23 = 645.56 : x
2. Step 2: Convert to fraction form
   1,142.92/1,577.23 = 645.56/x
3. Step 3: Cross multiply
   1,142.92x = 1,577.23 × 645.56
4. Step 4: Simplify right side
   1,142.92x = 1,018,196.60
5. Step 5: Solve for x
   x = 1,018,196.60/1,142.92
6. Step 6: Final answer
   x = 890.87