Finding the Fourth Proportional to 13,027.50, 19,567.49 and 7,772.78

Step by Step Solution

1. Step 1: Write the proportion equation
   13,027.50 : 19,567.49 = 7,772.78 : x
2. Step 2: Convert to fraction form
   13,027.50/19,567.49 = 7,772.78/x
3. Step 3: Cross multiply
   13,027.50x = 19,567.49 × 7,772.78
4. Step 4: Simplify right side
   13,027.50x = 152,093,804.98
5. Step 5: Solve for x
   x = 152,093,804.98/13,027.50
6. Step 6: Final answer
   x = 11,674.83