Finding the Fourth Proportional to 10,511.74, 15,764.15 and 3,846.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,511.74 : 15,764.15 = 3,846.72 : x
2. Step 2: Convert to fraction form
   10,511.74/15,764.15 = 3,846.72/x
3. Step 3: Cross multiply
   10,511.74x = 15,764.15 × 3,846.72
4. Step 4: Simplify right side
   10,511.74x = 60,640,339.82
5. Step 5: Solve for x
   x = 60,640,339.82/10,511.74
6. Step 6: Final answer
   x = 5,768.82