Finding the Fourth Proportional to 1,188.72, 1,782.81 and 841.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188.72 : 1,782.81 = 841.07 : x
2. Step 2: Convert to fraction form
   1,188.72/1,782.81 = 841.07/x
3. Step 3: Cross multiply
   1,188.72x = 1,782.81 × 841.07
4. Step 4: Simplify right side
   1,188.72x = 1,499,472.46
5. Step 5: Solve for x
   x = 1,499,472.46/1,188.72
6. Step 6: Final answer
   x = 1,261.42