Finding the Fourth Proportional to 9,893.57, 13,653.50 and 5,645.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,893.57 : 13,653.50 = 5,645.31 : x
2. Step 2: Convert to fraction form
   9,893.57/13,653.50 = 5,645.31/x
3. Step 3: Cross multiply
   9,893.57x = 13,653.50 × 5,645.31
4. Step 4: Simplify right side
   9,893.57x = 77,078,211.86
5. Step 5: Solve for x
   x = 77,078,211.86/9,893.57
6. Step 6: Final answer
   x = 7,790.74