Finding the Fourth Proportional to 9,941.85, 14,911.83 and 2,546.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,941.85 : 14,911.83 = 2,546.10 : x
2. Step 2: Convert to fraction form
   9,941.85/14,911.83 = 2,546.10/x
3. Step 3: Cross multiply
   9,941.85x = 14,911.83 × 2,546.10
4. Step 4: Simplify right side
   9,941.85x = 37,967,010.36
5. Step 5: Solve for x
   x = 37,967,010.36/9,941.85
6. Step 6: Final answer
   x = 3,818.91