Finding the Fourth Proportional to 9,408.90, 12,980.82 and 5,632.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,408.90 : 12,980.82 = 5,632.14 : x
2. Step 2: Convert to fraction form
   9,408.90/12,980.82 = 5,632.14/x
3. Step 3: Cross multiply
   9,408.90x = 12,980.82 × 5,632.14
4. Step 4: Simplify right side
   9,408.90x = 73,109,795.55
5. Step 5: Solve for x
   x = 73,109,795.55/9,408.90
6. Step 6: Final answer
   x = 7,770.28