Finding the Fourth Proportional to 1,189.50, 1,642.23 and 776.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.50 : 1,642.23 = 776.22 : x
2. Step 2: Convert to fraction form
   1,189.50/1,642.23 = 776.22/x
3. Step 3: Cross multiply
   1,189.50x = 1,642.23 × 776.22
4. Step 4: Simplify right side
   1,189.50x = 1,274,731.77
5. Step 5: Solve for x
   x = 1,274,731.77/1,189.50
6. Step 6: Final answer
   x = 1,071.65