Finding the Fourth Proportional to 3,758.00, 5,185.59 and 2,164.32

Step by Step Solution

1. Step 1: Write the proportion equation
   3,758.00 : 5,185.59 = 2,164.32 : x
2. Step 2: Convert to fraction form
   3,758.00/5,185.59 = 2,164.32/x
3. Step 3: Cross multiply
   3,758.00x = 5,185.59 × 2,164.32
4. Step 4: Simplify right side
   3,758.00x = 11,223,276.15
5. Step 5: Solve for x
   x = 11,223,276.15/3,758.00
6. Step 6: Final answer
   x = 2,986.51