Finding the Fourth Proportional to 10,947.72, 16,421.99 and 3,830.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,947.72 : 16,421.99 = 3,830.57 : x
2. Step 2: Convert to fraction form
   10,947.72/16,421.99 = 3,830.57/x
3. Step 3: Cross multiply
   10,947.72x = 16,421.99 × 3,830.57
4. Step 4: Simplify right side
   10,947.72x = 62,905,632.87
5. Step 5: Solve for x
   x = 62,905,632.87/10,947.72
6. Step 6: Final answer
   x = 5,746.00