Finding the Fourth Proportional to 10,152.46, 14,010.47 and 5,676.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152.46 : 14,010.47 = 5,676.63 : x
2. Step 2: Convert to fraction form
   10,152.46/14,010.47 = 5,676.63/x
3. Step 3: Cross multiply
   10,152.46x = 14,010.47 × 5,676.63
4. Step 4: Simplify right side
   10,152.46x = 79,532,273.49
5. Step 5: Solve for x
   x = 79,532,273.49/10,152.46
6. Step 6: Final answer
   x = 7,833.79