Finding the Fourth Proportional to 10,093.77, 15,142.42 and 3,429.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,093.77 : 15,142.42 = 3,429.57 : x
2. Step 2: Convert to fraction form
   10,093.77/15,142.42 = 3,429.57/x
3. Step 3: Cross multiply
   10,093.77x = 15,142.42 × 3,429.57
4. Step 4: Simplify right side
   10,093.77x = 51,931,989.36
5. Step 5: Solve for x
   x = 51,931,989.36/10,093.77
6. Step 6: Final answer
   x = 5,144.95