Finding the Fourth Proportional to 1,179.53, 1,627.83 and 780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,179.53 : 1,627.83 = 780.50 : x
2. Step 2: Convert to fraction form
   1,179.53/1,627.83 = 780.50/x
3. Step 3: Cross multiply
   1,179.53x = 1,627.83 × 780.50
4. Step 4: Simplify right side
   1,179.53x = 1,270,525.38
5. Step 5: Solve for x
   x = 1,270,525.38/1,179.53
6. Step 6: Final answer
   x = 1,077.15