Finding the Fourth Proportional to 1,358.76, 1,875.42 and 827.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,358.76 : 1,875.42 = 827.82 : x
2. Step 2: Convert to fraction form
   1,358.76/1,875.42 = 827.82/x
3. Step 3: Cross multiply
   1,358.76x = 1,875.42 × 827.82
4. Step 4: Simplify right side
   1,358.76x = 1,552,510.18
5. Step 5: Solve for x
   x = 1,552,510.18/1,358.76
6. Step 6: Final answer
   x = 1,142.59