Finding the Fourth Proportional to 14,402.50, 19,875.45 and 7,778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,402.50 : 19,875.45 = 7,778.50 : x
2. Step 2: Convert to fraction form
   14,402.50/19,875.45 = 7,778.50/x
3. Step 3: Cross multiply
   14,402.50x = 19,875.45 × 7,778.50
4. Step 4: Simplify right side
   14,402.50x = 154,601,187.83
5. Step 5: Solve for x
   x = 154,601,187.83/14,402.50
6. Step 6: Final answer
   x = 10,734.33