Finding the Fourth Proportional to 7,666.30, 10,576.74 and 5,680.18

Step by Step Solution

1. Step 1: Write the proportion equation
   7,666.30 : 10,576.74 = 5,680.18 : x
2. Step 2: Convert to fraction form
   7,666.30/10,576.74 = 5,680.18/x
3. Step 3: Cross multiply
   7,666.30x = 10,576.74 × 5,680.18
4. Step 4: Simplify right side
   7,666.30x = 60,077,787.01
5. Step 5: Solve for x
   x = 60,077,787.01/7,666.30
6. Step 6: Final answer
   x = 7,836.61