Finding the Fourth Proportional to 5,914.71, 8,166.40 and 3,677.59

Step by Step Solution

1. Step 1: Write the proportion equation
   5,914.71 : 8,166.40 = 3,677.59 : x
2. Step 2: Convert to fraction form
   5,914.71/8,166.40 = 3,677.59/x
3. Step 3: Cross multiply
   5,914.71x = 8,166.40 × 3,677.59
4. Step 4: Simplify right side
   5,914.71x = 30,032,632.17
5. Step 5: Solve for x
   x = 30,032,632.17/5,914.71
6. Step 6: Final answer
   x = 5,077.62