Finding the Fourth Proportional to 7,736.81, 10,676.81 and 4,200.02

Step by Step Solution

1. Step 1: Write the proportion equation
   7,736.81 : 10,676.81 = 4,200.02 : x
2. Step 2: Convert to fraction form
   7,736.81/10,676.81 = 4,200.02/x
3. Step 3: Cross multiply
   7,736.81x = 10,676.81 × 4,200.02
4. Step 4: Simplify right side
   7,736.81x = 44,842,741.15
5. Step 5: Solve for x
   x = 44,842,741.15/7,736.81
6. Step 6: Final answer
   x = 5,796.02