Finding the Fourth Proportional to 10,678.96, 14,743.89 and 9,557.95

Step by Step Solution

1. Step 1: Write the proportion equation
   10,678.96 : 14,743.89 = 9,557.95 : x
2. Step 2: Convert to fraction form
   10,678.96/14,743.89 = 9,557.95/x
3. Step 3: Cross multiply
   10,678.96x = 14,743.89 × 9,557.95
4. Step 4: Simplify right side
   10,678.96x = 140,921,363.43
5. Step 5: Solve for x
   x = 140,921,363.43/10,678.96
6. Step 6: Final answer
   x = 13,196.17