Finding the Fourth Proportional to 1,359.40, 1,875.37 and 828.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,359.40 : 1,875.37 = 828.08 : x
2. Step 2: Convert to fraction form
   1,359.40/1,875.37 = 828.08/x
3. Step 3: Cross multiply
   1,359.40x = 1,875.37 × 828.08
4. Step 4: Simplify right side
   1,359.40x = 1,552,956.59
5. Step 5: Solve for x
   x = 1,552,956.59/1,359.40
6. Step 6: Final answer
   x = 1,142.39