Finding the Fourth Proportional to 9,784.35, 14,680.71 and 5,107.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784.35 : 14,680.71 = 5,107.86 : x
2. Step 2: Convert to fraction form
   9,784.35/14,680.71 = 5,107.86/x
3. Step 3: Cross multiply
   9,784.35x = 14,680.71 × 5,107.86
4. Step 4: Simplify right side
   9,784.35x = 74,987,011.38
5. Step 5: Solve for x
   x = 74,987,011.38/9,784.35
6. Step 6: Final answer
   x = 7,663.97