Finding the Fourth Proportional to 10,777.62, 14,868.20 and 7,788.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,777.62 : 14,868.20 = 7,788.72 : x
2. Step 2: Convert to fraction form
   10,777.62/14,868.20 = 7,788.72/x
3. Step 3: Cross multiply
   10,777.62x = 14,868.20 × 7,788.72
4. Step 4: Simplify right side
   10,777.62x = 115,804,246.70
5. Step 5: Solve for x
   x = 115,804,246.70/10,777.62
6. Step 6: Final answer
   x = 10,744.88