Finding the Fourth Proportional to 1,185.31, 1,777.68 and 526.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.31 : 1,777.68 = 526.82 : x
2. Step 2: Convert to fraction form
   1,185.31/1,777.68 = 526.82/x
3. Step 3: Cross multiply
   1,185.31x = 1,777.68 × 526.82
4. Step 4: Simplify right side
   1,185.31x = 936,521.82
5. Step 5: Solve for x
   x = 936,521.82/1,185.31
6. Step 6: Final answer
   x = 790.11