Finding the Fourth Proportional to 6,586.86, 9,885.15 and 5,303.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,586.86 : 9,885.15 = 5,303.82 : x
2. Step 2: Convert to fraction form
   6,586.86/9,885.15 = 5,303.82/x
3. Step 3: Cross multiply
   6,586.86x = 9,885.15 × 5,303.82
4. Step 4: Simplify right side
   6,586.86x = 52,429,056.27
5. Step 5: Solve for x
   x = 52,429,056.27/6,586.86
6. Step 6: Final answer
   x = 7,959.64