Finding the Fourth Proportional to 5,923.71, 8,174.16 and 3,534.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,923.71 : 8,174.16 = 3,534.42 : x
2. Step 2: Convert to fraction form
   5,923.71/8,174.16 = 3,534.42/x
3. Step 3: Cross multiply
   5,923.71x = 8,174.16 × 3,534.42
4. Step 4: Simplify right side
   5,923.71x = 28,890,914.59
5. Step 5: Solve for x
   x = 28,890,914.59/5,923.71
6. Step 6: Final answer
   x = 4,877.17