Finding the Fourth Proportional to 7,742.00, 10,688.39 and 5,097.09

Step by Step Solution

1. Step 1: Write the proportion equation
   7,742.00 : 10,688.39 = 5,097.09 : x
2. Step 2: Convert to fraction form
   7,742.00/10,688.39 = 5,097.09/x
3. Step 3: Cross multiply
   7,742.00x = 10,688.39 × 5,097.09
4. Step 4: Simplify right side
   7,742.00x = 54,479,719.50
5. Step 5: Solve for x
   x = 54,479,719.50/7,742.00
6. Step 6: Final answer
   x = 7,036.91