Finding the Fourth Proportional to 5,946.85, 8,210.69 and 5,315.37

Step by Step Solution

1. Step 1: Write the proportion equation
   5,946.85 : 8,210.69 = 5,315.37 : x
2. Step 2: Convert to fraction form
   5,946.85/8,210.69 = 5,315.37/x
3. Step 3: Cross multiply
   5,946.85x = 8,210.69 × 5,315.37
4. Step 4: Simplify right side
   5,946.85x = 43,642,855.31
5. Step 5: Solve for x
   x = 43,642,855.31/5,946.85
6. Step 6: Final answer
   x = 7,338.82