Finding the Fourth Proportional to 10,026.21, 13,827.78 and 7,514.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026.21 : 13,827.78 = 7,514.22 : x
2. Step 2: Convert to fraction form
   10,026.21/13,827.78 = 7,514.22/x
3. Step 3: Cross multiply
   10,026.21x = 13,827.78 × 7,514.22
4. Step 4: Simplify right side
   10,026.21x = 103,904,981.03
5. Step 5: Solve for x
   x = 103,904,981.03/10,026.21
6. Step 6: Final answer
   x = 10,363.34