Finding the Fourth Proportional to 1,348.96, 1,861.38 and 824.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,348.96 : 1,861.38 = 824.86 : x
2. Step 2: Convert to fraction form
   1,348.96/1,861.38 = 824.86/x
3. Step 3: Cross multiply
   1,348.96x = 1,861.38 × 824.86
4. Step 4: Simplify right side
   1,348.96x = 1,535,377.91
5. Step 5: Solve for x
   x = 1,535,377.91/1,348.96
6. Step 6: Final answer
   x = 1,138.19