Finding the Fourth Proportional to 6,586.52, 9,884.64 and 3,123.80

Step by Step Solution

1. Step 1: Write the proportion equation
   6,586.52 : 9,884.64 = 3,123.80 : x
2. Step 2: Convert to fraction form
   6,586.52/9,884.64 = 3,123.80/x
3. Step 3: Cross multiply
   6,586.52x = 9,884.64 × 3,123.80
4. Step 4: Simplify right side
   6,586.52x = 30,877,638.43
5. Step 5: Solve for x
   x = 30,877,638.43/6,586.52
6. Step 6: Final answer
   x = 4,688.00