Finding the Fourth Proportional to 6,493.53, 9,737.86 and 5,123.01

Step by Step Solution

1. Step 1: Write the proportion equation
   6,493.53 : 9,737.86 = 5,123.01 : x
2. Step 2: Convert to fraction form
   6,493.53/9,737.86 = 5,123.01/x
3. Step 3: Cross multiply
   6,493.53x = 9,737.86 × 5,123.01
4. Step 4: Simplify right side
   6,493.53x = 49,887,136.22
5. Step 5: Solve for x
   x = 49,887,136.22/6,493.53
6. Step 6: Final answer
   x = 7,682.59