Finding the Fourth Proportional to 7,734.98, 10,663.08 and 5,077.82

Step by Step Solution

1. Step 1: Write the proportion equation
   7,734.98 : 10,663.08 = 5,077.82 : x
2. Step 2: Convert to fraction form
   7,734.98/10,663.08 = 5,077.82/x
3. Step 3: Cross multiply
   7,734.98x = 10,663.08 × 5,077.82
4. Step 4: Simplify right side
   7,734.98x = 54,145,200.89
5. Step 5: Solve for x
   x = 54,145,200.89/7,734.98
6. Step 6: Final answer
   x = 7,000.04