Finding the Fourth Proportional to 10,002.20, 13,802.96 and 5,526.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,002.20 : 13,802.96 = 5,526.08 : x
2. Step 2: Convert to fraction form
   10,002.20/13,802.96 = 5,526.08/x
3. Step 3: Cross multiply
   10,002.20x = 13,802.96 × 5,526.08
4. Step 4: Simplify right side
   10,002.20x = 76,276,261.20
5. Step 5: Solve for x
   x = 76,276,261.20/10,002.20
6. Step 6: Final answer
   x = 7,625.95