Finding the Fourth Proportional to 5,886.62, 8,123.16 and 5,416.41

Step by Step Solution

1. Step 1: Write the proportion equation
   5,886.62 : 8,123.16 = 5,416.41 : x
2. Step 2: Convert to fraction form
   5,886.62/8,123.16 = 5,416.41/x
3. Step 3: Cross multiply
   5,886.62x = 8,123.16 × 5,416.41
4. Step 4: Simplify right side
   5,886.62x = 43,998,415.83
5. Step 5: Solve for x
   x = 43,998,415.83/5,886.62
6. Step 6: Final answer
   x = 7,474.31