Finding the Fourth Proportional to 4,109.81, 6,164.58 and 1,188.05

Step by Step Solution

1. Step 1: Write the proportion equation
   4,109.81 : 6,164.58 = 1,188.05 : x
2. Step 2: Convert to fraction form
   4,109.81/6,164.58 = 1,188.05/x
3. Step 3: Cross multiply
   4,109.81x = 6,164.58 × 1,188.05
4. Step 4: Simplify right side
   4,109.81x = 7,323,829.27
5. Step 5: Solve for x
   x = 7,323,829.27/4,109.81
6. Step 6: Final answer
   x = 1,782.04