Finding the Fourth Proportional to 9,684.92, 14,526.56 and 3,109.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,684.92 : 14,526.56 = 3,109.34 : x
2. Step 2: Convert to fraction form
   9,684.92/14,526.56 = 3,109.34/x
3. Step 3: Cross multiply
   9,684.92x = 14,526.56 × 3,109.34
4. Step 4: Simplify right side
   9,684.92x = 45,168,014.07
5. Step 5: Solve for x
   x = 45,168,014.07/9,684.92
6. Step 6: Final answer
   x = 4,663.75