Finding the Fourth Proportional to 10,152.86, 14,012.23 and 5,676.87

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152.86 : 14,012.23 = 5,676.87 : x
2. Step 2: Convert to fraction form
   10,152.86/14,012.23 = 5,676.87/x
3. Step 3: Cross multiply
   10,152.86x = 14,012.23 × 5,676.87
4. Step 4: Simplify right side
   10,152.86x = 79,545,608.12
5. Step 5: Solve for x
   x = 79,545,608.12/10,152.86
6. Step 6: Final answer
   x = 7,834.80