Finding the Fourth Proportional to 1,180.56, 1,629.87 and 782.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,180.56 : 1,629.87 = 782.34 : x
2. Step 2: Convert to fraction form
   1,180.56/1,629.87 = 782.34/x
3. Step 3: Cross multiply
   1,180.56x = 1,629.87 × 782.34
4. Step 4: Simplify right side
   1,180.56x = 1,275,112.50
5. Step 5: Solve for x
   x = 1,275,112.50/1,180.56
6. Step 6: Final answer
   x = 1,080.09