Finding the Fourth Proportional to 9,892.59, 13,651.73 and 5,643.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,892.59 : 13,651.73 = 5,643.64 : x
2. Step 2: Convert to fraction form
   9,892.59/13,651.73 = 5,643.64/x
3. Step 3: Cross multiply
   9,892.59x = 13,651.73 × 5,643.64
4. Step 4: Simplify right side
   9,892.59x = 77,045,382.72
5. Step 5: Solve for x
   x = 77,045,382.72/9,892.59
6. Step 6: Final answer
   x = 7,788.19