Finding the Fourth Proportional to 7,853.46, 10,826.37 and 5,488.26

Step by Step Solution

1. Step 1: Write the proportion equation
   7,853.46 : 10,826.37 = 5,488.26 : x
2. Step 2: Convert to fraction form
   7,853.46/10,826.37 = 5,488.26/x
3. Step 3: Cross multiply
   7,853.46x = 10,826.37 × 5,488.26
4. Step 4: Simplify right side
   7,853.46x = 59,417,933.42
5. Step 5: Solve for x
   x = 59,417,933.42/7,853.46
6. Step 6: Final answer
   x = 7,565.83