Finding the Fourth Proportional to 7,776.61, 10,724.50 and 5,119.40

Step by Step Solution

1. Step 1: Write the proportion equation
   7,776.61 : 10,724.50 = 5,119.40 : x
2. Step 2: Convert to fraction form
   7,776.61/10,724.50 = 5,119.40/x
3. Step 3: Cross multiply
   7,776.61x = 10,724.50 × 5,119.40
4. Step 4: Simplify right side
   7,776.61x = 54,903,038.51
5. Step 5: Solve for x
   x = 54,903,038.51/7,776.61
6. Step 6: Final answer
   x = 7,060.02