Finding the Fourth Proportional to 9,419.09, 14,100.89 and 5,897.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,419.09 : 14,100.89 = 5,897.61 : x
2. Step 2: Convert to fraction form
   9,419.09/14,100.89 = 5,897.61/x
3. Step 3: Cross multiply
   9,419.09x = 14,100.89 × 5,897.61
4. Step 4: Simplify right side
   9,419.09x = 83,161,520.38
5. Step 5: Solve for x
   x = 83,161,520.38/9,419.09
6. Step 6: Final answer
   x = 8,829.04