Finding the Fourth Proportional to 1,300.71, 1,795.18 and 828.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.71 : 1,795.18 = 828.81 : x
2. Step 2: Convert to fraction form
   1,300.71/1,795.18 = 828.81/x
3. Step 3: Cross multiply
   1,300.71x = 1,795.18 × 828.81
4. Step 4: Simplify right side
   1,300.71x = 1,487,863.14
5. Step 5: Solve for x
   x = 1,487,863.14/1,300.71
6. Step 6: Final answer
   x = 1,143.89