Finding the Fourth Proportional to 3,385.96, 5,077.67 and 1,164.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,385.96 : 5,077.67 = 1,164.16 : x
2. Step 2: Convert to fraction form
   3,385.96/5,077.67 = 1,164.16/x
3. Step 3: Cross multiply
   3,385.96x = 5,077.67 × 1,164.16
4. Step 4: Simplify right side
   3,385.96x = 5,911,221.76
5. Step 5: Solve for x
   x = 5,911,221.76/3,385.96
6. Step 6: Final answer
   x = 1,745.81