Finding the Fourth Proportional to 10,026.93, 13,838.61 and 5,777.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026.93 : 13,838.61 = 5,777.18 : x
2. Step 2: Convert to fraction form
   10,026.93/13,838.61 = 5,777.18/x
3. Step 3: Cross multiply
   10,026.93x = 13,838.61 × 5,777.18
4. Step 4: Simplify right side
   10,026.93x = 79,948,072.26
5. Step 5: Solve for x
   x = 79,948,072.26/10,026.93
6. Step 6: Final answer
   x = 7,973.34