Finding the Fourth Proportional to 10,443.68, 15,665.47 and 2,546.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,443.68 : 15,665.47 = 2,546.10 : x
2. Step 2: Convert to fraction form
   10,443.68/15,665.47 = 2,546.10/x
3. Step 3: Cross multiply
   10,443.68x = 15,665.47 × 2,546.10
4. Step 4: Simplify right side
   10,443.68x = 39,885,853.17
5. Step 5: Solve for x
   x = 39,885,853.17/10,443.68
6. Step 6: Final answer
   x = 3,819.14