Finding the Fourth Proportional to 9,835.02, 13,571.82 and 5,643

Step by Step Solution

1. Step 1: Write the proportion equation
   9,835.02 : 13,571.82 = 5,643 : x
2. Step 2: Convert to fraction form
   9,835.02/13,571.82 = 5,643/x
3. Step 3: Cross multiply
   9,835.02x = 13,571.82 × 5,643
4. Step 4: Simplify right side
   9,835.02x = 76,585,780.26
5. Step 5: Solve for x
   x = 76,585,780.26/9,835.02
6. Step 6: Final answer
   x = 7,787.05