Finding the Fourth Proportional to 2,547.34, 3,818.58 and 814.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,547.34 : 3,818.58 = 814.78 : x
2. Step 2: Convert to fraction form
   2,547.34/3,818.58 = 814.78/x
3. Step 3: Cross multiply
   2,547.34x = 3,818.58 × 814.78
4. Step 4: Simplify right side
   2,547.34x = 3,111,302.61
5. Step 5: Solve for x
   x = 3,111,302.61/2,547.34
6. Step 6: Final answer
   x = 1,221.39