Finding the Fourth Proportional to 1,185.99, 1,780.06 and 601.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.99 : 1,780.06 = 601.40 : x
2. Step 2: Convert to fraction form
   1,185.99/1,780.06 = 601.40/x
3. Step 3: Cross multiply
   1,185.99x = 1,780.06 × 601.40
4. Step 4: Simplify right side
   1,185.99x = 1,070,522.15
5. Step 5: Solve for x
   x = 1,070,522.15/1,185.99
6. Step 6: Final answer
   x = 902.64