Finding the Fourth Proportional to 1,348.24, 1,861.50 and 824.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,348.24 : 1,861.50 = 824.62 : x
2. Step 2: Convert to fraction form
   1,348.24/1,861.50 = 824.62/x
3. Step 3: Cross multiply
   1,348.24x = 1,861.50 × 824.62
4. Step 4: Simplify right side
   1,348.24x = 1,535,030.13
5. Step 5: Solve for x
   x = 1,535,030.13/1,348.24
6. Step 6: Final answer
   x = 1,138.54