Finding the Fourth Proportional to 10,152.29, 14,010.48 and 5,676.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152.29 : 14,010.48 = 5,676.23 : x
2. Step 2: Convert to fraction form
   10,152.29/14,010.48 = 5,676.23/x
3. Step 3: Cross multiply
   10,152.29x = 14,010.48 × 5,676.23
4. Step 4: Simplify right side
   10,152.29x = 79,526,741.92
5. Step 5: Solve for x
   x = 79,526,741.92/10,152.29
6. Step 6: Final answer
   x = 7,833.38