Finding the Fourth Proportional to 9,892.98, 13,653.61 and 5,643.07

Step by Step Solution

1. Step 1: Write the proportion equation
   9,892.98 : 13,653.61 = 5,643.07 : x
2. Step 2: Convert to fraction form
   9,892.98/13,653.61 = 5,643.07/x
3. Step 3: Cross multiply
   9,892.98x = 13,653.61 × 5,643.07
4. Step 4: Simplify right side
   9,892.98x = 77,048,208.71
5. Step 5: Solve for x
   x = 77,048,208.71/9,892.98
6. Step 6: Final answer
   x = 7,788.17