Finding the Fourth Proportional to 5,643.02, 7,783.72 and 3,875.60

Step by Step Solution

1. Step 1: Write the proportion equation
   5,643.02 : 7,783.72 = 3,875.60 : x
2. Step 2: Convert to fraction form
   5,643.02/7,783.72 = 3,875.60/x
3. Step 3: Cross multiply
   5,643.02x = 7,783.72 × 3,875.60
4. Step 4: Simplify right side
   5,643.02x = 30,166,585.23
5. Step 5: Solve for x
   x = 30,166,585.23/5,643.02
6. Step 6: Final answer
   x = 5,345.82