Finding the Fourth Proportional to 5,703.42, 7,870.16 and 3,185.32

Step by Step Solution

1. Step 1: Write the proportion equation
   5,703.42 : 7,870.16 = 3,185.32 : x
2. Step 2: Convert to fraction form
   5,703.42/7,870.16 = 3,185.32/x
3. Step 3: Cross multiply
   5,703.42x = 7,870.16 × 3,185.32
4. Step 4: Simplify right side
   5,703.42x = 25,068,978.05
5. Step 5: Solve for x
   x = 25,068,978.05/5,703.42
6. Step 6: Final answer
   x = 4,395.43