Finding the Fourth Proportional to 1,348.63, 1,861.31 and 824.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,348.63 : 1,861.31 = 824.56 : x
2. Step 2: Convert to fraction form
   1,348.63/1,861.31 = 824.56/x
3. Step 3: Cross multiply
   1,348.63x = 1,861.31 × 824.56
4. Step 4: Simplify right side
   1,348.63x = 1,534,761.77
5. Step 5: Solve for x
   x = 1,534,761.77/1,348.63
6. Step 6: Final answer
   x = 1,138.02