Finding the Fourth Proportional to 6,564.98, 9,061.40 and 3,734.01

Step by Step Solution

1. Step 1: Write the proportion equation
   6,564.98 : 9,061.40 = 3,734.01 : x
2. Step 2: Convert to fraction form
   6,564.98/9,061.40 = 3,734.01/x
3. Step 3: Cross multiply
   6,564.98x = 9,061.40 × 3,734.01
4. Step 4: Simplify right side
   6,564.98x = 33,835,339.54
5. Step 5: Solve for x
   x = 33,835,339.54/6,564.98
6. Step 6: Final answer
   x = 5,153.91