Finding the Fourth Proportional to 10,176.05, 14,042.25 and 5,638.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,176.05 : 14,042.25 = 5,638.59 : x
2. Step 2: Convert to fraction form
   10,176.05/14,042.25 = 5,638.59/x
3. Step 3: Cross multiply
   10,176.05x = 14,042.25 × 5,638.59
4. Step 4: Simplify right side
   10,176.05x = 79,178,490.43
5. Step 5: Solve for x
   x = 79,178,490.43/10,176.05
6. Step 6: Final answer
   x = 7,780.87