Finding the Fourth Proportional to 1,348.29, 1,859.72 and 824.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,348.29 : 1,859.72 = 824.58 : x
2. Step 2: Convert to fraction form
   1,348.29/1,859.72 = 824.58/x
3. Step 3: Cross multiply
   1,348.29x = 1,859.72 × 824.58
4. Step 4: Simplify right side
   1,348.29x = 1,533,483.79
5. Step 5: Solve for x
   x = 1,533,483.79/1,348.29
6. Step 6: Final answer
   x = 1,137.35