Finding the Fourth Proportional to 9,766.53, 13,477.86 and 5,290.29

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.53 : 13,477.86 = 5,290.29 : x
2. Step 2: Convert to fraction form
   9,766.53/13,477.86 = 5,290.29/x
3. Step 3: Cross multiply
   9,766.53x = 13,477.86 × 5,290.29
4. Step 4: Simplify right side
   9,766.53x = 71,301,787.98
5. Step 5: Solve for x
   x = 71,301,787.98/9,766.53
6. Step 6: Final answer
   x = 7,300.63