Finding the Fourth Proportional to 5,706.74, 7,911.39 and 5,406.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,706.74 : 7,911.39 = 5,406.78 : x
2. Step 2: Convert to fraction form
   5,706.74/7,911.39 = 5,406.78/x
3. Step 3: Cross multiply
   5,706.74x = 7,911.39 × 5,406.78
4. Step 4: Simplify right side
   5,706.74x = 42,775,145.22
5. Step 5: Solve for x
   x = 42,775,145.22/5,706.74
6. Step 6: Final answer
   x = 7,495.55