Finding the Fourth Proportional to 11,444.32, 17,165.52 and 7,770.16

Step by Step Solution

1. Step 1: Write the proportion equation
   11,444.32 : 17,165.52 = 7,770.16 : x
2. Step 2: Convert to fraction form
   11,444.32/17,165.52 = 7,770.16/x
3. Step 3: Cross multiply
   11,444.32x = 17,165.52 × 7,770.16
4. Step 4: Simplify right side
   11,444.32x = 133,378,836.88
5. Step 5: Solve for x
   x = 133,378,836.88/11,444.32
6. Step 6: Final answer
   x = 11,654.59