Finding the Fourth Proportional to 10,026.81, 13,837.05 and 5,489.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026.81 : 13,837.05 = 5,489.55 : x
2. Step 2: Convert to fraction form
   10,026.81/13,837.05 = 5,489.55/x
3. Step 3: Cross multiply
   10,026.81x = 13,837.05 × 5,489.55
4. Step 4: Simplify right side
   10,026.81x = 75,959,177.83
5. Step 5: Solve for x
   x = 75,959,177.83/10,026.81
6. Step 6: Final answer
   x = 7,575.61