Finding the Fourth Proportional to 1,142.02, 1,575.81 and 768.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.02 : 1,575.81 = 768.41 : x
2. Step 2: Convert to fraction form
   1,142.02/1,575.81 = 768.41/x
3. Step 3: Cross multiply
   1,142.02x = 1,575.81 × 768.41
4. Step 4: Simplify right side
   1,142.02x = 1,210,868.16
5. Step 5: Solve for x
   x = 1,210,868.16/1,142.02
6. Step 6: Final answer
   x = 1,060.29