Finding the Fourth Proportional to 9,976.64, 13,767.18 and 5,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,976.64 : 13,767.18 = 5,499.50 : x
2. Step 2: Convert to fraction form
   9,976.64/13,767.18 = 5,499.50/x
3. Step 3: Cross multiply
   9,976.64x = 13,767.18 × 5,499.50
4. Step 4: Simplify right side
   9,976.64x = 75,712,606.41
5. Step 5: Solve for x
   x = 75,712,606.41/9,976.64
6. Step 6: Final answer
   x = 7,588.99