Finding the Fourth Proportional to 7,784.57, 10,754.42 and 5,102.16

Step by Step Solution

1. Step 1: Write the proportion equation
   7,784.57 : 10,754.42 = 5,102.16 : x
2. Step 2: Convert to fraction form
   7,784.57/10,754.42 = 5,102.16/x
3. Step 3: Cross multiply
   7,784.57x = 10,754.42 × 5,102.16
4. Step 4: Simplify right side
   7,784.57x = 54,870,705.71
5. Step 5: Solve for x
   x = 54,870,705.71/7,784.57
6. Step 6: Final answer
   x = 7,048.65