Finding the Fourth Proportional to 11,788.25, 16,259.46 and 10,007.60

Step by Step Solution

1. Step 1: Write the proportion equation
   11,788.25 : 16,259.46 = 10,007.60 : x
2. Step 2: Convert to fraction form
   11,788.25/16,259.46 = 10,007.60/x
3. Step 3: Cross multiply
   11,788.25x = 16,259.46 × 10,007.60
4. Step 4: Simplify right side
   11,788.25x = 162,718,171.90
5. Step 5: Solve for x
   x = 162,718,171.90/11,788.25
6. Step 6: Final answer
   x = 13,803.42