Finding the Fourth Proportional to 7,145.98, 9,865.83 and 5,659.90

Step by Step Solution

1. Step 1: Write the proportion equation
   7,145.98 : 9,865.83 = 5,659.90 : x
2. Step 2: Convert to fraction form
   7,145.98/9,865.83 = 5,659.90/x
3. Step 3: Cross multiply
   7,145.98x = 9,865.83 × 5,659.90
4. Step 4: Simplify right side
   7,145.98x = 55,839,611.22
5. Step 5: Solve for x
   x = 55,839,611.22/7,145.98
6. Step 6: Final answer
   x = 7,814.13