Finding the Fourth Proportional to 9,758.00, 13,464.60 and 5,723.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,758.00 : 13,464.60 = 5,723.30 : x
2. Step 2: Convert to fraction form
   9,758.00/13,464.60 = 5,723.30/x
3. Step 3: Cross multiply
   9,758.00x = 13,464.60 × 5,723.30
4. Step 4: Simplify right side
   9,758.00x = 77,061,877.86
5. Step 5: Solve for x
   x = 77,061,877.86/9,758.00
6. Step 6: Final answer
   x = 7,897.31