Finding the Fourth Proportional to 9,842.02, 13,581.81 and 5,649.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,842.02 : 13,581.81 = 5,649.94 : x
2. Step 2: Convert to fraction form
   9,842.02/13,581.81 = 5,649.94/x
3. Step 3: Cross multiply
   9,842.02x = 13,581.81 × 5,649.94
4. Step 4: Simplify right side
   9,842.02x = 76,736,411.59
5. Step 5: Solve for x
   x = 76,736,411.59/9,842.02
6. Step 6: Final answer
   x = 7,796.82