Finding the Fourth Proportional to 9,116.96, 13,664.40 and 3,849.93

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116.96 : 13,664.40 = 3,849.93 : x
2. Step 2: Convert to fraction form
   9,116.96/13,664.40 = 3,849.93/x
3. Step 3: Cross multiply
   9,116.96x = 13,664.40 × 3,849.93
4. Step 4: Simplify right side
   9,116.96x = 52,606,969.05
5. Step 5: Solve for x
   x = 52,606,969.05/9,116.96
6. Step 6: Final answer
   x = 5,770.23