Finding the Fourth Proportional to 10,392.63, 14,341.82 and 5,676.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,392.63 : 14,341.82 = 5,676.91 : x
2. Step 2: Convert to fraction form
   10,392.63/14,341.82 = 5,676.91/x
3. Step 3: Cross multiply
   10,392.63x = 14,341.82 × 5,676.91
4. Step 4: Simplify right side
   10,392.63x = 81,417,221.38
5. Step 5: Solve for x
   x = 81,417,221.38/10,392.63
6. Step 6: Final answer
   x = 7,834.13