Finding the Fourth Proportional to 9,405.76, 12,980.88 and 5,214.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,405.76 : 12,980.88 = 5,214.82 : x
2. Step 2: Convert to fraction form
   9,405.76/12,980.88 = 5,214.82/x
3. Step 3: Cross multiply
   9,405.76x = 12,980.88 × 5,214.82
4. Step 4: Simplify right side
   9,405.76x = 67,692,952.64
5. Step 5: Solve for x
   x = 67,692,952.64/9,405.76
6. Step 6: Final answer
   x = 7,196.97