Finding the Fourth Proportional to 9,934.05, 14,901.04 and 2,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,934.05 : 14,901.04 = 2,538.50 : x
2. Step 2: Convert to fraction form
   9,934.05/14,901.04 = 2,538.50/x
3. Step 3: Cross multiply
   9,934.05x = 14,901.04 × 2,538.50
4. Step 4: Simplify right side
   9,934.05x = 37,826,253.48
5. Step 5: Solve for x
   x = 37,826,253.48/9,934.05
6. Step 6: Final answer
   x = 3,807.74