Finding the Fourth Proportional to 6,758.64, 10,123.82 and 5,435.22

Step by Step Solution

1. Step 1: Write the proportion equation
   6,758.64 : 10,123.82 = 5,435.22 : x
2. Step 2: Convert to fraction form
   6,758.64/10,123.82 = 5,435.22/x
3. Step 3: Cross multiply
   6,758.64x = 10,123.82 × 5,435.22
4. Step 4: Simplify right side
   6,758.64x = 55,025,199.73
5. Step 5: Solve for x
   x = 55,025,199.73/6,758.64
6. Step 6: Final answer
   x = 8,141.46