Finding the Fourth Proportional to 9,897.57, 13,655.25 and 5,645.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,897.57 : 13,655.25 = 5,645.57 : x
2. Step 2: Convert to fraction form
   9,897.57/13,655.25 = 5,645.57/x
3. Step 3: Cross multiply
   9,897.57x = 13,655.25 × 5,645.57
4. Step 4: Simplify right side
   9,897.57x = 77,091,601.47
5. Step 5: Solve for x
   x = 77,091,601.47/9,897.57
6. Step 6: Final answer
   x = 7,788.94