Finding the Fourth Proportional to 1,164.76, 1,746.74 and 384.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.76 : 1,746.74 = 384.72 : x
2. Step 2: Convert to fraction form
   1,164.76/1,746.74 = 384.72/x
3. Step 3: Cross multiply
   1,164.76x = 1,746.74 × 384.72
4. Step 4: Simplify right side
   1,164.76x = 672,005.81
5. Step 5: Solve for x
   x = 672,005.81/1,164.76
6. Step 6: Final answer
   x = 576.95