Finding the Fourth Proportional to 2,654.34, 3,973.20 and 1,827.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,654.34 : 3,973.20 = 1,827.78 : x
2. Step 2: Convert to fraction form
   2,654.34/3,973.20 = 1,827.78/x
3. Step 3: Cross multiply
   2,654.34x = 3,973.20 × 1,827.78
4. Step 4: Simplify right side
   2,654.34x = 7,262,135.50
5. Step 5: Solve for x
   x = 7,262,135.50/2,654.34
6. Step 6: Final answer
   x = 2,735.95