Finding the Fourth Proportional to 10,458.56, 14,433.06 and 5,678.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,458.56 : 14,433.06 = 5,678.69 : x
2. Step 2: Convert to fraction form
   10,458.56/14,433.06 = 5,678.69/x
3. Step 3: Cross multiply
   10,458.56x = 14,433.06 × 5,678.69
4. Step 4: Simplify right side
   10,458.56x = 81,960,801.33
5. Step 5: Solve for x
   x = 81,960,801.33/10,458.56
6. Step 6: Final answer
   x = 7,836.72