Finding the Fourth Proportional to 2,513.29, 3,770.50 and 824.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,513.29 : 3,770.50 = 824.78 : x
2. Step 2: Convert to fraction form
   2,513.29/3,770.50 = 824.78/x
3. Step 3: Cross multiply
   2,513.29x = 3,770.50 × 824.78
4. Step 4: Simplify right side
   2,513.29x = 3,109,832.99
5. Step 5: Solve for x
   x = 3,109,832.99/2,513.29
6. Step 6: Final answer
   x = 1,237.36