Finding the Fourth Proportional to 9,627.27, 13,284.86 and 5,378.00

Step by Step Solution

1. Step 1: Write the proportion equation
   9,627.27 : 13,284.86 = 5,378.00 : x
2. Step 2: Convert to fraction form
   9,627.27/13,284.86 = 5,378.00/x
3. Step 3: Cross multiply
   9,627.27x = 13,284.86 × 5,378.00
4. Step 4: Simplify right side
   9,627.27x = 71,445,883.77
5. Step 5: Solve for x
   x = 71,445,883.77/9,627.27
6. Step 6: Final answer
   x = 7,421.20