Finding the Fourth Proportional to 21,727.95, 32,592.86 and 7,688.10

Step by Step Solution

1. Step 1: Write the proportion equation
   21,727.95 : 32,592.86 = 7,688.10 : x
2. Step 2: Convert to fraction form
   21,727.95/32,592.86 = 7,688.10/x
3. Step 3: Cross multiply
   21,727.95x = 32,592.86 × 7,688.10
4. Step 4: Simplify right side
   21,727.95x = 250,577,128.53
5. Step 5: Solve for x
   x = 250,577,128.53/21,727.95
6. Step 6: Final answer
   x = 11,532.48