Finding the Fourth Proportional to 7,788.72, 10,742.04 and 5,135.16

Step by Step Solution

1. Step 1: Write the proportion equation
   7,788.72 : 10,742.04 = 5,135.16 : x
2. Step 2: Convert to fraction form
   7,788.72/10,742.04 = 5,135.16/x
3. Step 3: Cross multiply
   7,788.72x = 10,742.04 × 5,135.16
4. Step 4: Simplify right side
   7,788.72x = 55,162,094.13
5. Step 5: Solve for x
   x = 55,162,094.13/7,788.72
6. Step 6: Final answer
   x = 7,082.31