Finding the Fourth Proportional to 1,181.53, 1,627.69 and 826.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,181.53 : 1,627.69 = 826.79 : x
2. Step 2: Convert to fraction form
   1,181.53/1,627.69 = 826.79/x
3. Step 3: Cross multiply
   1,181.53x = 1,627.69 × 826.79
4. Step 4: Simplify right side
   1,181.53x = 1,345,753.68
5. Step 5: Solve for x
   x = 1,345,753.68/1,181.53
6. Step 6: Final answer
   x = 1,139.00