Finding the Fourth Proportional to 10,094, 13,931.64 and 5,678

Step by Step Solution

1. Step 1: Write the proportion equation
   10,094 : 13,931.64 = 5,678 : x
2. Step 2: Convert to fraction form
   10,094/13,931.64 = 5,678/x
3. Step 3: Cross multiply
   10,094x = 13,931.64 × 5,678
4. Step 4: Simplify right side
   10,094x = 79,103,851.92
5. Step 5: Solve for x
   x = 79,103,851.92/10,094
6. Step 6: Final answer
   x = 7,836.72