Finding the Fourth Proportional to 9,766.61, 13,477.88 and 5,290.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.61 : 13,477.88 = 5,290.35 : x
2. Step 2: Convert to fraction form
   9,766.61/13,477.88 = 5,290.35/x
3. Step 3: Cross multiply
   9,766.61x = 13,477.88 × 5,290.35
4. Step 4: Simplify right side
   9,766.61x = 71,302,702.46
5. Step 5: Solve for x
   x = 71,302,702.46/9,766.61
6. Step 6: Final answer
   x = 7,300.66