Finding the Fourth Proportional to 10,002.42, 13,802.87 and 5,526.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,002.42 : 13,802.87 = 5,526.21 : x
2. Step 2: Convert to fraction form
   10,002.42/13,802.87 = 5,526.21/x
3. Step 3: Cross multiply
   10,002.42x = 13,802.87 × 5,526.21
4. Step 4: Simplify right side
   10,002.42x = 76,277,558.22
5. Step 5: Solve for x
   x = 76,277,558.22/10,002.42
6. Step 6: Final answer
   x = 7,625.91