Finding the Fourth Proportional to 10,022.10, 15,019.47 and 3,775.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.10 : 15,019.47 = 3,775.83 : x
2. Step 2: Convert to fraction form
   10,022.10/15,019.47 = 3,775.83/x
3. Step 3: Cross multiply
   10,022.10x = 15,019.47 × 3,775.83
4. Step 4: Simplify right side
   10,022.10x = 56,710,965.41
5. Step 5: Solve for x
   x = 56,710,965.41/10,022.10
6. Step 6: Final answer
   x = 5,658.59