Finding the Fourth Proportional to 9,709.30, 14,561.12 and 3,784.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,709.30 : 14,561.12 = 3,784.86 : x
2. Step 2: Convert to fraction form
   9,709.30/14,561.12 = 3,784.86/x
3. Step 3: Cross multiply
   9,709.30x = 14,561.12 × 3,784.86
4. Step 4: Simplify right side
   9,709.30x = 55,111,800.64
5. Step 5: Solve for x
   x = 55,111,800.64/9,709.30
6. Step 6: Final answer
   x = 5,676.19