Finding the Fourth Proportional to 9,607.50, 13,258.35 and 5,191.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,607.50 : 13,258.35 = 5,191.50 : x
2. Step 2: Convert to fraction form
   9,607.50/13,258.35 = 5,191.50/x
3. Step 3: Cross multiply
   9,607.50x = 13,258.35 × 5,191.50
4. Step 4: Simplify right side
   9,607.50x = 68,830,724.03
5. Step 5: Solve for x
   x = 68,830,724.03/9,607.50
6. Step 6: Final answer
   x = 7,164.27