Finding the Fourth Proportional to 1,001.91, 1,501.83 and 385.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,001.91 : 1,501.83 = 385.46 : x
2. Step 2: Convert to fraction form
   1,001.91/1,501.83 = 385.46/x
3. Step 3: Cross multiply
   1,001.91x = 1,501.83 × 385.46
4. Step 4: Simplify right side
   1,001.91x = 578,895.39
5. Step 5: Solve for x
   x = 578,895.39/1,001.91
6. Step 6: Final answer
   x = 577.79