Finding the Fourth Proportional to 1,182.83, 1,631.83 and 784.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.83 : 1,631.83 = 784.68 : x
2. Step 2: Convert to fraction form
   1,182.83/1,631.83 = 784.68/x
3. Step 3: Cross multiply
   1,182.83x = 1,631.83 × 784.68
4. Step 4: Simplify right side
   1,182.83x = 1,280,460.44
5. Step 5: Solve for x
   x = 1,280,460.44/1,182.83
6. Step 6: Final answer
   x = 1,082.54