Finding the Fourth Proportional to 6,506.38, 9,758.76 and 2,123.47

Step by Step Solution

1. Step 1: Write the proportion equation
   6,506.38 : 9,758.76 = 2,123.47 : x
2. Step 2: Convert to fraction form
   6,506.38/9,758.76 = 2,123.47/x
3. Step 3: Cross multiply
   6,506.38x = 9,758.76 × 2,123.47
4. Step 4: Simplify right side
   6,506.38x = 20,722,434.10
5. Step 5: Solve for x
   x = 20,722,434.10/6,506.38
6. Step 6: Final answer
   x = 3,184.94