Finding the Fourth Proportional to 6,706.05, 10,013.91 and 5,475.86

Step by Step Solution

1. Step 1: Write the proportion equation
   6,706.05 : 10,013.91 = 5,475.86 : x
2. Step 2: Convert to fraction form
   6,706.05/10,013.91 = 5,475.86/x
3. Step 3: Cross multiply
   6,706.05x = 10,013.91 × 5,475.86
4. Step 4: Simplify right side
   6,706.05x = 54,834,736.16
5. Step 5: Solve for x
   x = 54,834,736.16/6,706.05
6. Step 6: Final answer
   x = 8,176.91