Finding the Fourth Proportional to 9,931.31, 13,703.69 and 5,738.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,931.31 : 13,703.69 = 5,738.75 : x
2. Step 2: Convert to fraction form
   9,931.31/13,703.69 = 5,738.75/x
3. Step 3: Cross multiply
   9,931.31x = 13,703.69 × 5,738.75
4. Step 4: Simplify right side
   9,931.31x = 78,642,022.29
5. Step 5: Solve for x
   x = 78,642,022.29/9,931.31
6. Step 6: Final answer
   x = 7,918.60