Finding the Fourth Proportional to 1,185.57, 1,776.89 and 526.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.57 : 1,776.89 = 526.74 : x
2. Step 2: Convert to fraction form
   1,185.57/1,776.89 = 526.74/x
3. Step 3: Cross multiply
   1,185.57x = 1,776.89 × 526.74
4. Step 4: Simplify right side
   1,185.57x = 935,956.40
5. Step 5: Solve for x
   x = 935,956.40/1,185.57
6. Step 6: Final answer
   x = 789.46