Finding the Fourth Proportional to 9,141.37, 13,709.33 and 3,876.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,141.37 : 13,709.33 = 3,876.30 : x
2. Step 2: Convert to fraction form
   9,141.37/13,709.33 = 3,876.30/x
3. Step 3: Cross multiply
   9,141.37x = 13,709.33 × 3,876.30
4. Step 4: Simplify right side
   9,141.37x = 53,141,492.84
5. Step 5: Solve for x
   x = 53,141,492.84/9,141.37
6. Step 6: Final answer
   x = 5,813.30