Finding the Fourth Proportional to 10,091, 13,926.03 and 8,409.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,091 : 13,926.03 = 8,409.60 : x
2. Step 2: Convert to fraction form
   10,091/13,926.03 = 8,409.60/x
3. Step 3: Cross multiply
   10,091x = 13,926.03 × 8,409.60
4. Step 4: Simplify right side
   10,091x = 117,112,341.89
5. Step 5: Solve for x
   x = 117,112,341.89/10,091
6. Step 6: Final answer
   x = 11,605.62