Finding the Fourth Proportional to 10,617.78, 14,652.16 and 5,837.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,617.78 : 14,652.16 = 5,837.69 : x
2. Step 2: Convert to fraction form
   10,617.78/14,652.16 = 5,837.69/x
3. Step 3: Cross multiply
   10,617.78x = 14,652.16 × 5,837.69
4. Step 4: Simplify right side
   10,617.78x = 85,534,665.46
5. Step 5: Solve for x
   x = 85,534,665.46/10,617.78
6. Step 6: Final answer
   x = 8,055.80