Finding the Fourth Proportional to 10,461.82, 14,437.41 and 5,746.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,461.82 : 14,437.41 = 5,746.20 : x
2. Step 2: Convert to fraction form
   10,461.82/14,437.41 = 5,746.20/x
3. Step 3: Cross multiply
   10,461.82x = 14,437.41 × 5,746.20
4. Step 4: Simplify right side
   10,461.82x = 82,960,245.34
5. Step 5: Solve for x
   x = 82,960,245.34/10,461.82
6. Step 6: Final answer
   x = 7,929.81