Finding the Fourth Proportional to 5,643.60, 7,784.28 and 3,968.52

Step by Step Solution

1. Step 1: Write the proportion equation
   5,643.60 : 7,784.28 = 3,968.52 : x
2. Step 2: Convert to fraction form
   5,643.60/7,784.28 = 3,968.52/x
3. Step 3: Cross multiply
   5,643.60x = 7,784.28 × 3,968.52
4. Step 4: Simplify right side
   5,643.60x = 30,892,070.87
5. Step 5: Solve for x
   x = 30,892,070.87/5,643.60
6. Step 6: Final answer
   x = 5,473.82