Finding the Fourth Proportional to 6,543.91, 9,852.71 and 5,768.89

Step by Step Solution

1. Step 1: Write the proportion equation
   6,543.91 : 9,852.71 = 5,768.89 : x
2. Step 2: Convert to fraction form
   6,543.91/9,852.71 = 5,768.89/x
3. Step 3: Cross multiply
   6,543.91x = 9,852.71 × 5,768.89
4. Step 4: Simplify right side
   6,543.91x = 56,839,200.19
5. Step 5: Solve for x
   x = 56,839,200.19/6,543.91
6. Step 6: Final answer
   x = 8,685.82