Finding the Fourth Proportional to 13,784.26, 19,022.71 and 7,816.18

Step by Step Solution

1. Step 1: Write the proportion equation
   13,784.26 : 19,022.71 = 7,816.18 : x
2. Step 2: Convert to fraction form
   13,784.26/19,022.71 = 7,816.18/x
3. Step 3: Cross multiply
   13,784.26x = 19,022.71 × 7,816.18
4. Step 4: Simplify right side
   13,784.26x = 148,684,925.45
5. Step 5: Solve for x
   x = 148,684,925.45/13,784.26
6. Step 6: Final answer
   x = 10,786.57