Finding the Fourth Proportional to 11,577.60, 17,368.84 and 3,785.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11,577.60 : 17,368.84 = 3,785.82 : x
2. Step 2: Convert to fraction form
   11,577.60/17,368.84 = 3,785.82/x
3. Step 3: Cross multiply
   11,577.60x = 17,368.84 × 3,785.82
4. Step 4: Simplify right side
   11,577.60x = 65,755,301.85
5. Step 5: Solve for x
   x = 65,755,301.85/11,577.60
6. Step 6: Final answer
   x = 5,679.53