Finding the Fourth Proportional to 9,412.90, 12,986.34 and 5,636.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,412.90 : 12,986.34 = 5,636.14 : x
2. Step 2: Convert to fraction form
   9,412.90/12,986.34 = 5,636.14/x
3. Step 3: Cross multiply
   9,412.90x = 12,986.34 × 5,636.14
4. Step 4: Simplify right side
   9,412.90x = 73,192,830.33
5. Step 5: Solve for x
   x = 73,192,830.33/9,412.90
6. Step 6: Final answer
   x = 7,775.80