Finding the Fourth Proportional to 9,787.60, 13,506.77 and 5,311.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,787.60 : 13,506.77 = 5,311.34 : x
2. Step 2: Convert to fraction form
   9,787.60/13,506.77 = 5,311.34/x
3. Step 3: Cross multiply
   9,787.60x = 13,506.77 × 5,311.34
4. Step 4: Simplify right side
   9,787.60x = 71,739,047.77
5. Step 5: Solve for x
   x = 71,739,047.77/9,787.60
6. Step 6: Final answer
   x = 7,329.59