Finding the Fourth Proportional to 9,109.94, 13,664.16 and 3,842.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,109.94 : 13,664.16 = 3,842.62 : x
2. Step 2: Convert to fraction form
   9,109.94/13,664.16 = 3,842.62/x
3. Step 3: Cross multiply
   9,109.94x = 13,664.16 × 3,842.62
4. Step 4: Simplify right side
   9,109.94x = 52,506,174.50
5. Step 5: Solve for x
   x = 52,506,174.50/9,109.94
6. Step 6: Final answer
   x = 5,763.61