Finding the Fourth Proportional to 9,685.50, 14,529.06 and 3,842.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,685.50 : 14,529.06 = 3,842.16 : x
2. Step 2: Convert to fraction form
   9,685.50/14,529.06 = 3,842.16/x
3. Step 3: Cross multiply
   9,685.50x = 14,529.06 × 3,842.16
4. Step 4: Simplify right side
   9,685.50x = 55,822,973.17
5. Step 5: Solve for x
   x = 55,822,973.17/9,685.50
6. Step 6: Final answer
   x = 5,763.56