Finding the Fourth Proportional to 10,002.18, 13,802.38 and 5,525.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,002.18 : 13,802.38 = 5,525.71 : x
2. Step 2: Convert to fraction form
   10,002.18/13,802.38 = 5,525.71/x
3. Step 3: Cross multiply
   10,002.18x = 13,802.38 × 5,525.71
4. Step 4: Simplify right side
   10,002.18x = 76,267,969.88
5. Step 5: Solve for x
   x = 76,267,969.88/10,002.18
6. Step 6: Final answer
   x = 7,625.14