Finding the Fourth Proportional to 6,892.20, 10,328.70 and 5,123.40

Step by Step Solution

1. Step 1: Write the proportion equation
   6,892.20 : 10,328.70 = 5,123.40 : x
2. Step 2: Convert to fraction form
   6,892.20/10,328.70 = 5,123.40/x
3. Step 3: Cross multiply
   6,892.20x = 10,328.70 × 5,123.40
4. Step 4: Simplify right side
   6,892.20x = 52,918,061.58
5. Step 5: Solve for x
   x = 52,918,061.58/6,892.20
6. Step 6: Final answer
   x = 7,677.96