Finding the Fourth Proportional to 10,494.32, 15,692.87 and 8,127.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494.32 : 15,692.87 = 8,127.50 : x
2. Step 2: Convert to fraction form
   10,494.32/15,692.87 = 8,127.50/x
3. Step 3: Cross multiply
   10,494.32x = 15,692.87 × 8,127.50
4. Step 4: Simplify right side
   10,494.32x = 127,543,742.78
5. Step 5: Solve for x
   x = 127,543,742.78/10,494.32
6. Step 6: Final answer
   x = 12,153.60