Finding the Fourth Proportional to 6,889.92, 9,499.71 and 5,825.76

Step by Step Solution

1. Step 1: Write the proportion equation
   6,889.92 : 9,499.71 = 5,825.76 : x
2. Step 2: Convert to fraction form
   6,889.92/9,499.71 = 5,825.76/x
3. Step 3: Cross multiply
   6,889.92x = 9,499.71 × 5,825.76
4. Step 4: Simplify right side
   6,889.92x = 55,343,030.53
5. Step 5: Solve for x
   x = 55,343,030.53/6,889.92
6. Step 6: Final answer
   x = 8,032.46