Finding the Fourth Proportional to 9,723.96, 13,419.06 and 5,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,723.96 : 13,419.06 = 5,746.50 : x
2. Step 2: Convert to fraction form
   9,723.96/13,419.06 = 5,746.50/x
3. Step 3: Cross multiply
   9,723.96x = 13,419.06 × 5,746.50
4. Step 4: Simplify right side
   9,723.96x = 77,112,628.29
5. Step 5: Solve for x
   x = 77,112,628.29/9,723.96
6. Step 6: Final answer
   x = 7,930.17