Finding the Fourth Proportional to 1,001.69, 1,501.83 and 384.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,001.69 : 1,501.83 = 384.88 : x
2. Step 2: Convert to fraction form
   1,001.69/1,501.83 = 384.88/x
3. Step 3: Cross multiply
   1,001.69x = 1,501.83 × 384.88
4. Step 4: Simplify right side
   1,001.69x = 578,019.61
5. Step 5: Solve for x
   x = 578,019.61/1,001.69
6. Step 6: Final answer
   x = 577.04