Finding the Fourth Proportional to 9,164.54, 12,646.37 and 5,387.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.54 : 12,646.37 = 5,387.86 : x
2. Step 2: Convert to fraction form
   9,164.54/12,646.37 = 5,387.86/x
3. Step 3: Cross multiply
   9,164.54x = 12,646.37 × 5,387.86
4. Step 4: Simplify right side
   9,164.54x = 68,136,871.07
5. Step 5: Solve for x
   x = 68,136,871.07/9,164.54
6. Step 6: Final answer
   x = 7,434.84