Finding the Fourth Proportional to 7,784.15, 10,742.58 and 7,259.27

Step by Step Solution

1. Step 1: Write the proportion equation
   7,784.15 : 10,742.58 = 7,259.27 : x
2. Step 2: Convert to fraction form
   7,784.15/10,742.58 = 7,259.27/x
3. Step 3: Cross multiply
   7,784.15x = 10,742.58 × 7,259.27
4. Step 4: Simplify right side
   7,784.15x = 77,983,235.00
5. Step 5: Solve for x
   x = 77,983,235.00/7,784.15
6. Step 6: Final answer
   x = 10,018.21