Finding the Fourth Proportional to 2,748.34, 3,789.50 and 2,002.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,748.34 : 3,789.50 = 2,002.64 : x
2. Step 2: Convert to fraction form
   2,748.34/3,789.50 = 2,002.64/x
3. Step 3: Cross multiply
   2,748.34x = 3,789.50 × 2,002.64
4. Step 4: Simplify right side
   2,748.34x = 7,589,004.28
5. Step 5: Solve for x
   x = 7,589,004.28/2,748.34
6. Step 6: Final answer
   x = 2,761.30