Finding the Fourth Proportional to 7,786.14, 10,746.72 and 5,435.52

Step by Step Solution

1. Step 1: Write the proportion equation
   7,786.14 : 10,746.72 = 5,435.52 : x
2. Step 2: Convert to fraction form
   7,786.14/10,746.72 = 5,435.52/x
3. Step 3: Cross multiply
   7,786.14x = 10,746.72 × 5,435.52
4. Step 4: Simplify right side
   7,786.14x = 58,414,011.49
5. Step 5: Solve for x
   x = 58,414,011.49/7,786.14
6. Step 6: Final answer
   x = 7,502.31