Finding the Fourth Proportional to 10,458.50, 14,432.83 and 5,678.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,458.50 : 14,432.83 = 5,678.49 : x
2. Step 2: Convert to fraction form
   10,458.50/14,432.83 = 5,678.49/x
3. Step 3: Cross multiply
   10,458.50x = 14,432.83 × 5,678.49
4. Step 4: Simplify right side
   10,458.50x = 81,956,752.70
5. Step 5: Solve for x
   x = 81,956,752.70/10,458.50
6. Step 6: Final answer
   x = 7,836.38