Finding the Fourth Proportional to 10,106.22, 15,162.59 and 3,784.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.22 : 15,162.59 = 3,784.42 : x
2. Step 2: Convert to fraction form
   10,106.22/15,162.59 = 3,784.42/x
3. Step 3: Cross multiply
   10,106.22x = 15,162.59 × 3,784.42
4. Step 4: Simplify right side
   10,106.22x = 57,381,637.26
5. Step 5: Solve for x
   x = 57,381,637.26/10,106.22
6. Step 6: Final answer
   x = 5,677.85