Finding the Fourth Proportional to 10,674.76, 16,007 and 5,047.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,674.76 : 16,007 = 5,047.74 : x
2. Step 2: Convert to fraction form
   10,674.76/16,007 = 5,047.74/x
3. Step 3: Cross multiply
   10,674.76x = 16,007 × 5,047.74
4. Step 4: Simplify right side
   10,674.76x = 80,799,174.18
5. Step 5: Solve for x
   x = 80,799,174.18/10,674.76
6. Step 6: Final answer
   x = 7,569.18