Finding the Fourth Proportional to 1,150.75, 1,588.42 and 678.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.75 : 1,588.42 = 678.63 : x
2. Step 2: Convert to fraction form
   1,150.75/1,588.42 = 678.63/x
3. Step 3: Cross multiply
   1,150.75x = 1,588.42 × 678.63
4. Step 4: Simplify right side
   1,150.75x = 1,077,949.46
5. Step 5: Solve for x
   x = 1,077,949.46/1,150.75
6. Step 6: Final answer
   x = 936.74