Finding the Fourth Proportional to 6,256.82, 9,389.86 and 5,038.93

Step by Step Solution

1. Step 1: Write the proportion equation
   6,256.82 : 9,389.86 = 5,038.93 : x
2. Step 2: Convert to fraction form
   6,256.82/9,389.86 = 5,038.93/x
3. Step 3: Cross multiply
   6,256.82x = 9,389.86 × 5,038.93
4. Step 4: Simplify right side
   6,256.82x = 47,314,846.39
5. Step 5: Solve for x
   x = 47,314,846.39/6,256.82
6. Step 6: Final answer
   x = 7,562.12