Finding the Fourth Proportional to 9,590.60, 14,363.61 and 9,258.01

Step by Step Solution

1. Step 1: Write the proportion equation
   9,590.60 : 14,363.61 = 9,258.01 : x
2. Step 2: Convert to fraction form
   9,590.60/14,363.61 = 9,258.01/x
3. Step 3: Cross multiply
   9,590.60x = 14,363.61 × 9,258.01
4. Step 4: Simplify right side
   9,590.60x = 132,978,374.39
5. Step 5: Solve for x
   x = 132,978,374.39/9,590.60
6. Step 6: Final answer
   x = 13,865.49