Finding the Fourth Proportional to 10,105.76, 15,164.40 and 3,536.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.76 : 15,164.40 = 3,536.84 : x
2. Step 2: Convert to fraction form
   10,105.76/15,164.40 = 3,536.84/x
3. Step 3: Cross multiply
   10,105.76x = 15,164.40 × 3,536.84
4. Step 4: Simplify right side
   10,105.76x = 53,634,056.50
5. Step 5: Solve for x
   x = 53,634,056.50/10,105.76
6. Step 6: Final answer
   x = 5,307.28