Finding the Fourth Proportional to 1,188.78, 1,642.32 and 1,106.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188.78 : 1,642.32 = 1,106.82 : x
2. Step 2: Convert to fraction form
   1,188.78/1,642.32 = 1,106.82/x
3. Step 3: Cross multiply
   1,188.78x = 1,642.32 × 1,106.82
4. Step 4: Simplify right side
   1,188.78x = 1,817,752.62
5. Step 5: Solve for x
   x = 1,817,752.62/1,188.78
6. Step 6: Final answer
   x = 1,529.09