Finding the Fourth Proportional to 10,464.90, 15,678.72 and 5,537.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464.90 : 15,678.72 = 5,537.94 : x
2. Step 2: Convert to fraction form
   10,464.90/15,678.72 = 5,537.94/x
3. Step 3: Cross multiply
   10,464.90x = 15,678.72 × 5,537.94
4. Step 4: Simplify right side
   10,464.90x = 86,827,810.64
5. Step 5: Solve for x
   x = 86,827,810.64/10,464.90
6. Step 6: Final answer
   x = 8,297.05