Finding the Fourth Proportional to 12,077.61, 16,652.61 and 7,827.12

Step by Step Solution

1. Step 1: Write the proportion equation
   12,077.61 : 16,652.61 = 7,827.12 : x
2. Step 2: Convert to fraction form
   12,077.61/16,652.61 = 7,827.12/x
3. Step 3: Cross multiply
   12,077.61x = 16,652.61 × 7,827.12
4. Step 4: Simplify right side
   12,077.61x = 130,341,976.78
5. Step 5: Solve for x
   x = 130,341,976.78/12,077.61
6. Step 6: Final answer
   x = 10,792.03