Finding the Fourth Proportional to 10,767.89, 16,152.30 and 5,768.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,767.89 : 16,152.30 = 5,768.16 : x
2. Step 2: Convert to fraction form
   10,767.89/16,152.30 = 5,768.16/x
3. Step 3: Cross multiply
   10,767.89x = 16,152.30 × 5,768.16
4. Step 4: Simplify right side
   10,767.89x = 93,169,050.77
5. Step 5: Solve for x
   x = 93,169,050.77/10,767.89
6. Step 6: Final answer
   x = 8,652.49