Finding the Fourth Proportional to 9,782.51, 13,499.73 and 5,591.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.51 : 13,499.73 = 5,591.57 : x
2. Step 2: Convert to fraction form
   9,782.51/13,499.73 = 5,591.57/x
3. Step 3: Cross multiply
   9,782.51x = 13,499.73 × 5,591.57
4. Step 4: Simplify right side
   9,782.51x = 75,484,617.78
5. Step 5: Solve for x
   x = 75,484,617.78/9,782.51
6. Step 6: Final answer
   x = 7,716.29