Finding the Fourth Proportional to 13,782.50, 19,019.29 and 7,814.05

Step by Step Solution

1. Step 1: Write the proportion equation
   13,782.50 : 19,019.29 = 7,814.05 : x
2. Step 2: Convert to fraction form
   13,782.50/19,019.29 = 7,814.05/x
3. Step 3: Cross multiply
   13,782.50x = 19,019.29 × 7,814.05
4. Step 4: Simplify right side
   13,782.50x = 148,617,737.58
5. Step 5: Solve for x
   x = 148,617,737.58/13,782.50
6. Step 6: Final answer
   x = 10,783.07