Finding the Fourth Proportional to 9,835.80, 13,573.98 and 5,643.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,835.80 : 13,573.98 = 5,643.48 : x
2. Step 2: Convert to fraction form
   9,835.80/13,573.98 = 5,643.48/x
3. Step 3: Cross multiply
   9,835.80x = 13,573.98 × 5,643.48
4. Step 4: Simplify right side
   9,835.80x = 76,604,484.65
5. Step 5: Solve for x
   x = 76,604,484.65/9,835.80
6. Step 6: Final answer
   x = 7,788.33