Finding the Fourth Proportional to 6,543.53, 9,026.16 and 4,185.62

Step by Step Solution

1. Step 1: Write the proportion equation
   6,543.53 : 9,026.16 = 4,185.62 : x
2. Step 2: Convert to fraction form
   6,543.53/9,026.16 = 4,185.62/x
3. Step 3: Cross multiply
   6,543.53x = 9,026.16 × 4,185.62
4. Step 4: Simplify right side
   6,543.53x = 37,780,030.69
5. Step 5: Solve for x
   x = 37,780,030.69/6,543.53
6. Step 6: Final answer
   x = 5,773.65