Finding the Fourth Proportional to 6,706.46, 9,233.87 and 5,696.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,706.46 : 9,233.87 = 5,696.10 : x
2. Step 2: Convert to fraction form
   6,706.46/9,233.87 = 5,696.10/x
3. Step 3: Cross multiply
   6,706.46x = 9,233.87 × 5,696.10
4. Step 4: Simplify right side
   6,706.46x = 52,597,018.43
5. Step 5: Solve for x
   x = 52,597,018.43/6,706.46
6. Step 6: Final answer
   x = 7,842.75