Finding the Fourth Proportional to 11,748.52, 17,624.46 and 3,849.35

Step by Step Solution

1. Step 1: Write the proportion equation
   11,748.52 : 17,624.46 = 3,849.35 : x
2. Step 2: Convert to fraction form
   11,748.52/17,624.46 = 3,849.35/x
3. Step 3: Cross multiply
   11,748.52x = 17,624.46 × 3,849.35
4. Step 4: Simplify right side
   11,748.52x = 67,842,715.10
5. Step 5: Solve for x
   x = 67,842,715.10/11,748.52
6. Step 6: Final answer
   x = 5,774.57