Finding the Fourth Proportional to 7,801.25, 11,708.82 and 3,643.55

Step by Step Solution

1. Step 1: Write the proportion equation
   7,801.25 : 11,708.82 = 3,643.55 : x
2. Step 2: Convert to fraction form
   7,801.25/11,708.82 = 3,643.55/x
3. Step 3: Cross multiply
   7,801.25x = 11,708.82 × 3,643.55
4. Step 4: Simplify right side
   7,801.25x = 42,661,612.57
5. Step 5: Solve for x
   x = 42,661,612.57/7,801.25
6. Step 6: Final answer
   x = 5,468.56