Finding the Fourth Proportional to 11,887.54, 16,407.76 and 7,416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,887.54 : 16,407.76 = 7,416.50 : x
2. Step 2: Convert to fraction form
   11,887.54/16,407.76 = 7,416.50/x
3. Step 3: Cross multiply
   11,887.54x = 16,407.76 × 7,416.50
4. Step 4: Simplify right side
   11,887.54x = 121,688,152.04
5. Step 5: Solve for x
   x = 121,688,152.04/11,887.54
6. Step 6: Final answer
   x = 10,236.61