Finding the Fourth Proportional to 10,788, 14,880.48 and 7,638.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,788 : 14,880.48 = 7,638.72 : x
2. Step 2: Convert to fraction form
   10,788/14,880.48 = 7,638.72/x
3. Step 3: Cross multiply
   10,788x = 14,880.48 × 7,638.72
4. Step 4: Simplify right side
   10,788x = 113,667,820.19
5. Step 5: Solve for x
   x = 113,667,820.19/10,788
6. Step 6: Final answer
   x = 10,536.51