Finding the Fourth Proportional to 9,892.06, 13,651.43 and 5,643.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,892.06 : 13,651.43 = 5,643.81 : x
2. Step 2: Convert to fraction form
   9,892.06/13,651.43 = 5,643.81/x
3. Step 3: Cross multiply
   9,892.06x = 13,651.43 × 5,643.81
4. Step 4: Simplify right side
   9,892.06x = 77,046,048.93
5. Step 5: Solve for x
   x = 77,046,048.93/9,892.06
6. Step 6: Final answer
   x = 7,788.68