Finding the Fourth Proportional to 9,897.93, 13,657.41 and 5,647.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,897.93 : 13,657.41 = 5,647.05 : x
2. Step 2: Convert to fraction form
   9,897.93/13,657.41 = 5,647.05/x
3. Step 3: Cross multiply
   9,897.93x = 13,657.41 × 5,647.05
4. Step 4: Simplify right side
   9,897.93x = 77,124,077.14
5. Step 5: Solve for x
   x = 77,124,077.14/9,897.93
6. Step 6: Final answer
   x = 7,791.94