Finding the Fourth Proportional to 5,659.04, 7,814 and 3,985.98

Step by Step Solution

1. Step 1: Write the proportion equation
   5,659.04 : 7,814 = 3,985.98 : x
2. Step 2: Convert to fraction form
   5,659.04/7,814 = 3,985.98/x
3. Step 3: Cross multiply
   5,659.04x = 7,814 × 3,985.98
4. Step 4: Simplify right side
   5,659.04x = 31,146,447.72
5. Step 5: Solve for x
   x = 31,146,447.72/5,659.04
6. Step 6: Final answer
   x = 5,503.84