Finding the Fourth Proportional to 7,145.81, 10,675.12 and 5,686.59

Step by Step Solution

1. Step 1: Write the proportion equation
   7,145.81 : 10,675.12 = 5,686.59 : x
2. Step 2: Convert to fraction form
   7,145.81/10,675.12 = 5,686.59/x
3. Step 3: Cross multiply
   7,145.81x = 10,675.12 × 5,686.59
4. Step 4: Simplify right side
   7,145.81x = 60,705,030.64
5. Step 5: Solve for x
   x = 60,705,030.64/7,145.81
6. Step 6: Final answer
   x = 8,495.19