Finding the Fourth Proportional to 7,005.32, 9,658.74 and 5,674.12

Step by Step Solution

1. Step 1: Write the proportion equation
   7,005.32 : 9,658.74 = 5,674.12 : x
2. Step 2: Convert to fraction form
   7,005.32/9,658.74 = 5,674.12/x
3. Step 3: Cross multiply
   7,005.32x = 9,658.74 × 5,674.12
4. Step 4: Simplify right side
   7,005.32x = 54,804,849.81
5. Step 5: Solve for x
   x = 54,804,849.81/7,005.32
6. Step 6: Final answer
   x = 7,823.32