Finding the Fourth Proportional to 9,784.65, 14,665.59 and 4,857.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784.65 : 14,665.59 = 4,857.42 : x
2. Step 2: Convert to fraction form
   9,784.65/14,665.59 = 4,857.42/x
3. Step 3: Cross multiply
   9,784.65x = 14,665.59 × 4,857.42
4. Step 4: Simplify right side
   9,784.65x = 71,236,930.18
5. Step 5: Solve for x
   x = 71,236,930.18/9,784.65
6. Step 6: Final answer
   x = 7,280.48