Finding the Fourth Proportional to 10,686.55, 14,742.25 and 7,535.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,686.55 : 14,742.25 = 7,535.83 : x
2. Step 2: Convert to fraction form
   10,686.55/14,742.25 = 7,535.83/x
3. Step 3: Cross multiply
   10,686.55x = 14,742.25 × 7,535.83
4. Step 4: Simplify right side
   10,686.55x = 111,095,089.82
5. Step 5: Solve for x
   x = 111,095,089.82/10,686.55
6. Step 6: Final answer
   x = 10,395.79