Finding the Fourth Proportional to 6,816.32, 10,174.72 and 5,848.64

Step by Step Solution

1. Step 1: Write the proportion equation
   6,816.32 : 10,174.72 = 5,848.64 : x
2. Step 2: Convert to fraction form
   6,816.32/10,174.72 = 5,848.64/x
3. Step 3: Cross multiply
   6,816.32x = 10,174.72 × 5,848.64
4. Step 4: Simplify right side
   6,816.32x = 59,508,274.38
5. Step 5: Solve for x
   x = 59,508,274.38/6,816.32
6. Step 6: Final answer
   x = 8,730.26