Finding the Fourth Proportional to 1,348.84, 1,861.95 and 825.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,348.84 : 1,861.95 = 825.18 : x
2. Step 2: Convert to fraction form
   1,348.84/1,861.95 = 825.18/x
3. Step 3: Cross multiply
   1,348.84x = 1,861.95 × 825.18
4. Step 4: Simplify right side
   1,348.84x = 1,536,443.90
5. Step 5: Solve for x
   x = 1,536,443.90/1,348.84
6. Step 6: Final answer
   x = 1,139.09