Finding the Fourth Proportional to 1,387.53, 1,914.56 and 827.99

Step by Step Solution

1. Step 1: Write the proportion equation
   1,387.53 : 1,914.56 = 827.99 : x
2. Step 2: Convert to fraction form
   1,387.53/1,914.56 = 827.99/x
3. Step 3: Cross multiply
   1,387.53x = 1,914.56 × 827.99
4. Step 4: Simplify right side
   1,387.53x = 1,585,222.82
5. Step 5: Solve for x
   x = 1,585,222.82/1,387.53
6. Step 6: Final answer
   x = 1,142.48