Finding the Fourth Proportional to 1,348.08, 1,859.91 and 824.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,348.08 : 1,859.91 = 824.28 : x
2. Step 2: Convert to fraction form
   1,348.08/1,859.91 = 824.28/x
3. Step 3: Cross multiply
   1,348.08x = 1,859.91 × 824.28
4. Step 4: Simplify right side
   1,348.08x = 1,533,086.61
5. Step 5: Solve for x
   x = 1,533,086.61/1,348.08
6. Step 6: Final answer
   x = 1,137.24