Finding the Fourth Proportional to 1,164.34, 1,746.77 and 384.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.34 : 1,746.77 = 384.42 : x
2. Step 2: Convert to fraction form
   1,164.34/1,746.77 = 384.42/x
3. Step 3: Cross multiply
   1,164.34x = 1,746.77 × 384.42
4. Step 4: Simplify right side
   1,164.34x = 671,493.32
5. Step 5: Solve for x
   x = 671,493.32/1,164.34
6. Step 6: Final answer
   x = 576.72