Finding the Fourth Proportional to 10,152.36, 14,009.78 and 5,676.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152.36 : 14,009.78 = 5,676.68 : x
2. Step 2: Convert to fraction form
   10,152.36/14,009.78 = 5,676.68/x
3. Step 3: Cross multiply
   10,152.36x = 14,009.78 × 5,676.68
4. Step 4: Simplify right side
   10,152.36x = 79,529,037.93
5. Step 5: Solve for x
   x = 79,529,037.93/10,152.36
6. Step 6: Final answer
   x = 7,833.55