Finding the Fourth Proportional to 9,116.19, 13,664.72 and 5,162.51

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116.19 : 13,664.72 = 5,162.51 : x
2. Step 2: Convert to fraction form
   9,116.19/13,664.72 = 5,162.51/x
3. Step 3: Cross multiply
   9,116.19x = 13,664.72 × 5,162.51
4. Step 4: Simplify right side
   9,116.19x = 70,544,159.51
5. Step 5: Solve for x
   x = 70,544,159.51/9,116.19
6. Step 6: Final answer
   x = 7,738.34