Finding the Fourth Proportional to 9,737.31, 13,436.91 and 5,758.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,737.31 : 13,436.91 = 5,758.77 : x
2. Step 2: Convert to fraction form
   9,737.31/13,436.91 = 5,758.77/x
3. Step 3: Cross multiply
   9,737.31x = 13,436.91 × 5,758.77
4. Step 4: Simplify right side
   9,737.31x = 77,380,074.20
5. Step 5: Solve for x
   x = 77,380,074.20/9,737.31
6. Step 6: Final answer
   x = 7,946.76