Finding the Fourth Proportional to 6,114.34, 9,164.50 and 2,779.00

Step by Step Solution

1. Step 1: Write the proportion equation
   6,114.34 : 9,164.50 = 2,779.00 : x
2. Step 2: Convert to fraction form
   6,114.34/9,164.50 = 2,779.00/x
3. Step 3: Cross multiply
   6,114.34x = 9,164.50 × 2,779.00
4. Step 4: Simplify right side
   6,114.34x = 25,468,085.78
5. Step 5: Solve for x
   x = 25,468,085.78/6,114.34
6. Step 6: Final answer
   x = 4,165.31