Finding the Fourth Proportional to 9,838.08, 13,575.60 and 5,645.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,838.08 : 13,575.60 = 5,645.52 : x
2. Step 2: Convert to fraction form
   9,838.08/13,575.60 = 5,645.52/x
3. Step 3: Cross multiply
   9,838.08x = 13,575.60 × 5,645.52
4. Step 4: Simplify right side
   9,838.08x = 76,641,321.31
5. Step 5: Solve for x
   x = 76,641,321.31/9,838.08
6. Step 6: Final answer
   x = 7,790.27