Finding the Fourth Proportional to 1,348.80, 1,861.47 and 824.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,348.80 : 1,861.47 = 824.82 : x
2. Step 2: Convert to fraction form
   1,348.80/1,861.47 = 824.82/x
3. Step 3: Cross multiply
   1,348.80x = 1,861.47 × 824.82
4. Step 4: Simplify right side
   1,348.80x = 1,535,377.69
5. Step 5: Solve for x
   x = 1,535,377.69/1,348.80
6. Step 6: Final answer
   x = 1,138.33