Finding the Fourth Proportional to 10,076.38, 13,917.05 and 7,569.43

Step by Step Solution

1. Step 1: Write the proportion equation
   10,076.38 : 13,917.05 = 7,569.43 : x
2. Step 2: Convert to fraction form
   10,076.38/13,917.05 = 7,569.43/x
3. Step 3: Cross multiply
   10,076.38x = 13,917.05 × 7,569.43
4. Step 4: Simplify right side
   10,076.38x = 105,344,091.53
5. Step 5: Solve for x
   x = 105,344,091.53/10,076.38
6. Step 6: Final answer
   x = 10,454.56