Finding the Fourth Proportional to 9,783.14, 14,638.34 and 5,836.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,783.14 : 14,638.34 = 5,836.52 : x
2. Step 2: Convert to fraction form
   9,783.14/14,638.34 = 5,836.52/x
3. Step 3: Cross multiply
   9,783.14x = 14,638.34 × 5,836.52
4. Step 4: Simplify right side
   9,783.14x = 85,436,964.18
5. Step 5: Solve for x
   x = 85,436,964.18/9,783.14
6. Step 6: Final answer
   x = 8,733.08