Finding the Fourth Proportional to 9,166.83, 12,649.84 and 5,188.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,166.83 : 12,649.84 = 5,188.16 : x
2. Step 2: Convert to fraction form
   9,166.83/12,649.84 = 5,188.16/x
3. Step 3: Cross multiply
   9,166.83x = 12,649.84 × 5,188.16
4. Step 4: Simplify right side
   9,166.83x = 65,629,341.39
5. Step 5: Solve for x
   x = 65,629,341.39/9,166.83
6. Step 6: Final answer
   x = 7,159.44