Finding the Fourth Proportional to 10,002.12, 13,802.86 and 5,526.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,002.12 : 13,802.86 = 5,526.16 : x
2. Step 2: Convert to fraction form
   10,002.12/13,802.86 = 5,526.16/x
3. Step 3: Cross multiply
   10,002.12x = 13,802.86 × 5,526.16
4. Step 4: Simplify right side
   10,002.12x = 76,276,812.82
5. Step 5: Solve for x
   x = 76,276,812.82/10,002.12
6. Step 6: Final answer
   x = 7,626.06