Finding the Fourth Proportional to 9,736.32, 14,606.64 and 5,054.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,736.32 : 14,606.64 = 5,054.88 : x
2. Step 2: Convert to fraction form
   9,736.32/14,606.64 = 5,054.88/x
3. Step 3: Cross multiply
   9,736.32x = 14,606.64 × 5,054.88
4. Step 4: Simplify right side
   9,736.32x = 73,834,812.40
5. Step 5: Solve for x
   x = 73,834,812.40/9,736.32
6. Step 6: Final answer
   x = 7,583.44