Finding the Fourth Proportional to 12,902.16, 17,802.12 and 8,192.40

Step by Step Solution

1. Step 1: Write the proportion equation
   12,902.16 : 17,802.12 = 8,192.40 : x
2. Step 2: Convert to fraction form
   12,902.16/17,802.12 = 8,192.40/x
3. Step 3: Cross multiply
   12,902.16x = 17,802.12 × 8,192.40
4. Step 4: Simplify right side
   12,902.16x = 145,842,087.89
5. Step 5: Solve for x
   x = 145,842,087.89/12,902.16
6. Step 6: Final answer
   x = 11,303.70