Finding the Fourth Proportional to 6,114.72, 9,174.27 and 3,772.00

Step by Step Solution

1. Step 1: Write the proportion equation
   6,114.72 : 9,174.27 = 3,772.00 : x
2. Step 2: Convert to fraction form
   6,114.72/9,174.27 = 3,772.00/x
3. Step 3: Cross multiply
   6,114.72x = 9,174.27 × 3,772.00
4. Step 4: Simplify right side
   6,114.72x = 34,605,321.66
5. Step 5: Solve for x
   x = 34,605,321.66/6,114.72
6. Step 6: Final answer
   x = 5,659.35