Finding the Fourth Proportional to 9,804.81, 14,678.06 and 5,897.37

Step by Step Solution

1. Step 1: Write the proportion equation
   9,804.81 : 14,678.06 = 5,897.37 : x
2. Step 2: Convert to fraction form
   9,804.81/14,678.06 = 5,897.37/x
3. Step 3: Cross multiply
   9,804.81x = 14,678.06 × 5,897.37
4. Step 4: Simplify right side
   9,804.81x = 86,561,921.22
5. Step 5: Solve for x
   x = 86,561,921.22/9,804.81
6. Step 6: Final answer
   x = 8,828.52