Finding the Fourth Proportional to 6,191.25, 8,543.70 and 3,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,191.25 : 8,543.70 = 3,538.50 : x
2. Step 2: Convert to fraction form
   6,191.25/8,543.70 = 3,538.50/x
3. Step 3: Cross multiply
   6,191.25x = 8,543.70 × 3,538.50
4. Step 4: Simplify right side
   6,191.25x = 30,231,882.45
5. Step 5: Solve for x
   x = 30,231,882.45/6,191.25
6. Step 6: Final answer
   x = 4,883.00