Finding the Fourth Proportional to 11,601.60, 17,395.86 and 3,809.76

Step by Step Solution

1. Step 1: Write the proportion equation
   11,601.60 : 17,395.86 = 3,809.76 : x
2. Step 2: Convert to fraction form
   11,601.60/17,395.86 = 3,809.76/x
3. Step 3: Cross multiply
   11,601.60x = 17,395.86 × 3,809.76
4. Step 4: Simplify right side
   11,601.60x = 66,274,051.59
5. Step 5: Solve for x
   x = 66,274,051.59/11,601.60
6. Step 6: Final answer
   x = 5,712.49