Finding the Fourth Proportional to 21,111.20, 31,642.64 and 10,002.14

Step by Step Solution

1. Step 1: Write the proportion equation
   21,111.20 : 31,642.64 = 10,002.14 : x
2. Step 2: Convert to fraction form
   21,111.20/31,642.64 = 10,002.14/x
3. Step 3: Cross multiply
   21,111.20x = 31,642.64 × 10,002.14
4. Step 4: Simplify right side
   21,111.20x = 316,494,115.25
5. Step 5: Solve for x
   x = 316,494,115.25/21,111.20
6. Step 6: Final answer
   x = 14,991.76