Finding the Fourth Proportional to 12,784.21, 19,150.78 and 10,156.16

Step by Step Solution

1. Step 1: Write the proportion equation
   12,784.21 : 19,150.78 = 10,156.16 : x
2. Step 2: Convert to fraction form
   12,784.21/19,150.78 = 10,156.16/x
3. Step 3: Cross multiply
   12,784.21x = 19,150.78 × 10,156.16
4. Step 4: Simplify right side
   12,784.21x = 194,498,385.80
5. Step 5: Solve for x
   x = 194,498,385.80/12,784.21
6. Step 6: Final answer
   x = 15,213.95