Finding the Fourth Proportional to 10,026.96, 13,837.53 and 5,777.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026.96 : 13,837.53 = 5,777.69 : x
2. Step 2: Convert to fraction form
   10,026.96/13,837.53 = 5,777.69/x
3. Step 3: Cross multiply
   10,026.96x = 13,837.53 × 5,777.69
4. Step 4: Simplify right side
   10,026.96x = 79,948,889.52
5. Step 5: Solve for x
   x = 79,948,889.52/10,026.96
6. Step 6: Final answer
   x = 7,973.39