Finding the Fourth Proportional to 10,852.32, 14,976.06 and 6,136.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,852.32 : 14,976.06 = 6,136.50 : x
2. Step 2: Convert to fraction form
   10,852.32/14,976.06 = 6,136.50/x
3. Step 3: Cross multiply
   10,852.32x = 14,976.06 × 6,136.50
4. Step 4: Simplify right side
   10,852.32x = 91,900,592.19
5. Step 5: Solve for x
   x = 91,900,592.19/10,852.32
6. Step 6: Final answer
   x = 8,468.29