Finding the Fourth Proportional to 9,921.84, 13,693.32 and 5,730

Step by Step Solution

1. Step 1: Write the proportion equation
   9,921.84 : 13,693.32 = 5,730 : x
2. Step 2: Convert to fraction form
   9,921.84/13,693.32 = 5,730/x
3. Step 3: Cross multiply
   9,921.84x = 13,693.32 × 5,730
4. Step 4: Simplify right side
   9,921.84x = 78,462,723.60
5. Step 5: Solve for x
   x = 78,462,723.60/9,921.84
6. Step 6: Final answer
   x = 7,908.08