Finding the Fourth Proportional to 5,710.21, 7,877.86 and 3,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,710.21 : 7,877.86 = 3,584.50 : x
2. Step 2: Convert to fraction form
   5,710.21/7,877.86 = 3,584.50/x
3. Step 3: Cross multiply
   5,710.21x = 7,877.86 × 3,584.50
4. Step 4: Simplify right side
   5,710.21x = 28,238,189.17
5. Step 5: Solve for x
   x = 28,238,189.17/5,710.21
6. Step 6: Final answer
   x = 4,945.21