Finding the Fourth Proportional to 9,400.50, 12,972.70 and 5,674.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,400.50 : 12,972.70 = 5,674.50 : x
2. Step 2: Convert to fraction form
   9,400.50/12,972.70 = 5,674.50/x
3. Step 3: Cross multiply
   9,400.50x = 12,972.70 × 5,674.50
4. Step 4: Simplify right side
   9,400.50x = 73,613,586.15
5. Step 5: Solve for x
   x = 73,613,586.15/9,400.50
6. Step 6: Final answer
   x = 7,830.82