Finding the Fourth Proportional to 11,584.56, 17,375.98 and 3,686.76

Step by Step Solution

1. Step 1: Write the proportion equation
   11,584.56 : 17,375.98 = 3,686.76 : x
2. Step 2: Convert to fraction form
   11,584.56/17,375.98 = 3,686.76/x
3. Step 3: Cross multiply
   11,584.56x = 17,375.98 × 3,686.76
4. Step 4: Simplify right side
   11,584.56x = 64,061,068.02
5. Step 5: Solve for x
   x = 64,061,068.02/11,584.56
6. Step 6: Final answer
   x = 5,529.87