Finding the Fourth Proportional to 11,466.55, 15,828.35 and 7,688.34

Step by Step Solution

1. Step 1: Write the proportion equation
   11,466.55 : 15,828.35 = 7,688.34 : x
2. Step 2: Convert to fraction form
   11,466.55/15,828.35 = 7,688.34/x
3. Step 3: Cross multiply
   11,466.55x = 15,828.35 × 7,688.34
4. Step 4: Simplify right side
   11,466.55x = 121,693,746.61
5. Step 5: Solve for x
   x = 121,693,746.61/11,466.55
6. Step 6: Final answer
   x = 10,612.93