Finding the Fourth Proportional to 1,178.83, 1,627.89 and 759.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,178.83 : 1,627.89 = 759.92 : x
2. Step 2: Convert to fraction form
   1,178.83/1,627.89 = 759.92/x
3. Step 3: Cross multiply
   1,178.83x = 1,627.89 × 759.92
4. Step 4: Simplify right side
   1,178.83x = 1,237,066.17
5. Step 5: Solve for x
   x = 1,237,066.17/1,178.83
6. Step 6: Final answer
   x = 1,049.40