Finding the Fourth Proportional to 9,892.19, 13,649.50 and 5,699.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,892.19 : 13,649.50 = 5,699.63 : x
2. Step 2: Convert to fraction form
   9,892.19/13,649.50 = 5,699.63/x
3. Step 3: Cross multiply
   9,892.19x = 13,649.50 × 5,699.63
4. Step 4: Simplify right side
   9,892.19x = 77,797,099.69
5. Step 5: Solve for x
   x = 77,797,099.69/9,892.19
6. Step 6: Final answer
   x = 7,864.50