Finding the Fourth Proportional to 1,142.94, 1,577.23 and 645.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.94 : 1,577.23 = 645.57 : x
2. Step 2: Convert to fraction form
   1,142.94/1,577.23 = 645.57/x
3. Step 3: Cross multiply
   1,142.94x = 1,577.23 × 645.57
4. Step 4: Simplify right side
   1,142.94x = 1,018,212.57
5. Step 5: Solve for x
   x = 1,018,212.57/1,142.94
6. Step 6: Final answer
   x = 890.88