Finding the Fourth Proportional to 10,461.77, 14,437.94 and 5,746.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,461.77 : 14,437.94 = 5,746.10 : x
2. Step 2: Convert to fraction form
   10,461.77/14,437.94 = 5,746.10/x
3. Step 3: Cross multiply
   10,461.77x = 14,437.94 × 5,746.10
4. Step 4: Simplify right side
   10,461.77x = 82,961,789.21
5. Step 5: Solve for x
   x = 82,961,789.21/10,461.77
6. Step 6: Final answer
   x = 7,930.00