Finding the Fourth Proportional to 9,770.79, 14,664.06 and 5,092.23

Step by Step Solution

1. Step 1: Write the proportion equation
   9,770.79 : 14,664.06 = 5,092.23 : x
2. Step 2: Convert to fraction form
   9,770.79/14,664.06 = 5,092.23/x
3. Step 3: Cross multiply
   9,770.79x = 14,664.06 × 5,092.23
4. Step 4: Simplify right side
   9,770.79x = 74,672,766.25
5. Step 5: Solve for x
   x = 74,672,766.25/9,770.79
6. Step 6: Final answer
   x = 7,642.45