Finding the Fourth Proportional to 10,152.48, 14,010.18 and 5,676.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152.48 : 14,010.18 = 5,676.65 : x
2. Step 2: Convert to fraction form
   10,152.48/14,010.18 = 5,676.65/x
3. Step 3: Cross multiply
   10,152.48x = 14,010.18 × 5,676.65
4. Step 4: Simplify right side
   10,152.48x = 79,530,818.25
5. Step 5: Solve for x
   x = 79,530,818.25/10,152.48
6. Step 6: Final answer
   x = 7,833.63