Finding the Fourth Proportional to 10,461.96, 14,437.71 and 5,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,461.96 : 14,437.71 = 5,746.50 : x
2. Step 2: Convert to fraction form
   10,461.96/14,437.71 = 5,746.50/x
3. Step 3: Cross multiply
   10,461.96x = 14,437.71 × 5,746.50
4. Step 4: Simplify right side
   10,461.96x = 82,966,300.52
5. Step 5: Solve for x
   x = 82,966,300.52/10,461.96
6. Step 6: Final answer
   x = 7,930.28