Finding the Fourth Proportional to 9,857.52, 14,789.16 and 3,702

Step by Step Solution

1. Step 1: Write the proportion equation
   9,857.52 : 14,789.16 = 3,702 : x
2. Step 2: Convert to fraction form
   9,857.52/14,789.16 = 3,702/x
3. Step 3: Cross multiply
   9,857.52x = 14,789.16 × 3,702
4. Step 4: Simplify right side
   9,857.52x = 54,749,470.32
5. Step 5: Solve for x
   x = 54,749,470.32/9,857.52
6. Step 6: Final answer
   x = 5,554.08