Finding the Fourth Proportional to 9,406.63, 12,980.77 and 5,627.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,406.63 : 12,980.77 = 5,627.58 : x
2. Step 2: Convert to fraction form
   9,406.63/12,980.77 = 5,627.58/x
3. Step 3: Cross multiply
   9,406.63x = 12,980.77 × 5,627.58
4. Step 4: Simplify right side
   9,406.63x = 73,050,321.64
5. Step 5: Solve for x
   x = 73,050,321.64/9,406.63
6. Step 6: Final answer
   x = 7,765.83