Finding the Fourth Proportional to 7,780.51, 10,738.34 and 4,638.52

Step by Step Solution

1. Step 1: Write the proportion equation
   7,780.51 : 10,738.34 = 4,638.52 : x
2. Step 2: Convert to fraction form
   7,780.51/10,738.34 = 4,638.52/x
3. Step 3: Cross multiply
   7,780.51x = 10,738.34 × 4,638.52
4. Step 4: Simplify right side
   7,780.51x = 49,810,004.86
5. Step 5: Solve for x
   x = 49,810,004.86/7,780.51
6. Step 6: Final answer
   x = 6,401.89