Finding the Fourth Proportional to 1,360.09, 1,876.38 and 828.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,360.09 : 1,876.38 = 828.55 : x
2. Step 2: Convert to fraction form
   1,360.09/1,876.38 = 828.55/x
3. Step 3: Cross multiply
   1,360.09x = 1,876.38 × 828.55
4. Step 4: Simplify right side
   1,360.09x = 1,554,674.65
5. Step 5: Solve for x
   x = 1,554,674.65/1,360.09
6. Step 6: Final answer
   x = 1,143.07