Finding the Fourth Proportional to 9,485.22, 14,219.64 and 5,097.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,485.22 : 14,219.64 = 5,097.57 : x
2. Step 2: Convert to fraction form
   9,485.22/14,219.64 = 5,097.57/x
3. Step 3: Cross multiply
   9,485.22x = 14,219.64 × 5,097.57
4. Step 4: Simplify right side
   9,485.22x = 72,485,610.27
5. Step 5: Solve for x
   x = 72,485,610.27/9,485.22
6. Step 6: Final answer
   x = 7,641.95