Finding the Fourth Proportional to 7,784.51, 10,754.33 and 5,102.09

Step by Step Solution

1. Step 1: Write the proportion equation
   7,784.51 : 10,754.33 = 5,102.09 : x
2. Step 2: Convert to fraction form
   7,784.51/10,754.33 = 5,102.09/x
3. Step 3: Cross multiply
   7,784.51x = 10,754.33 × 5,102.09
4. Step 4: Simplify right side
   7,784.51x = 54,869,574.37
5. Step 5: Solve for x
   x = 54,869,574.37/7,784.51
6. Step 6: Final answer
   x = 7,048.56