Finding the Fourth Proportional to 1,178.31, 1,766.32 and 561.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,178.31 : 1,766.32 = 561.69 : x
2. Step 2: Convert to fraction form
   1,178.31/1,766.32 = 561.69/x
3. Step 3: Cross multiply
   1,178.31x = 1,766.32 × 561.69
4. Step 4: Simplify right side
   1,178.31x = 992,124.28
5. Step 5: Solve for x
   x = 992,124.28/1,178.31
6. Step 6: Final answer
   x = 841.99