Finding the Fourth Proportional to 10,152.96, 14,011.32 and 5,676.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152.96 : 14,011.32 = 5,676.52 : x
2. Step 2: Convert to fraction form
   10,152.96/14,011.32 = 5,676.52/x
3. Step 3: Cross multiply
   10,152.96x = 14,011.32 × 5,676.52
4. Step 4: Simplify right side
   10,152.96x = 79,535,538.21
5. Step 5: Solve for x
   x = 79,535,538.21/10,152.96
6. Step 6: Final answer
   x = 7,833.73