Finding the Fourth Proportional to 11,584.02, 17,376.65 and 3,686.00

Step by Step Solution

1. Step 1: Write the proportion equation
   11,584.02 : 17,376.65 = 3,686.00 : x
2. Step 2: Convert to fraction form
   11,584.02/17,376.65 = 3,686.00/x
3. Step 3: Cross multiply
   11,584.02x = 17,376.65 × 3,686.00
4. Step 4: Simplify right side
   11,584.02x = 64,050,240.41
5. Step 5: Solve for x
   x = 64,050,240.41/11,584.02
6. Step 6: Final answer
   x = 5,529.19