Finding the Fourth Proportional to 9,405.02, 12,978.06 and 5,627.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,405.02 : 12,978.06 = 5,627.46 : x
2. Step 2: Convert to fraction form
   9,405.02/12,978.06 = 5,627.46/x
3. Step 3: Cross multiply
   9,405.02x = 12,978.06 × 5,627.46
4. Step 4: Simplify right side
   9,405.02x = 73,033,513.53
5. Step 5: Solve for x
   x = 73,033,513.53/9,405.02
6. Step 6: Final answer
   x = 7,765.38