Finding the Fourth Proportional to 9,530.56, 14,298.56 and 3,688.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,530.56 : 14,298.56 = 3,688.84 : x
2. Step 2: Convert to fraction form
   9,530.56/14,298.56 = 3,688.84/x
3. Step 3: Cross multiply
   9,530.56x = 14,298.56 × 3,688.84
4. Step 4: Simplify right side
   9,530.56x = 52,745,100.07
5. Step 5: Solve for x
   x = 52,745,100.07/9,530.56
6. Step 6: Final answer
   x = 5,534.31