Finding the Fourth Proportional to 14,187.06, 19,578.18 and 7,813.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,187.06 : 19,578.18 = 7,813.50 : x
2. Step 2: Convert to fraction form
   14,187.06/19,578.18 = 7,813.50/x
3. Step 3: Cross multiply
   14,187.06x = 19,578.18 × 7,813.50
4. Step 4: Simplify right side
   14,187.06x = 152,974,109.43
5. Step 5: Solve for x
   x = 152,974,109.43/14,187.06
6. Step 6: Final answer
   x = 10,782.65