Finding the Fourth Proportional to 1,188.05, 1,781.89 and 355.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188.05 : 1,781.89 = 355.10 : x
2. Step 2: Convert to fraction form
   1,188.05/1,781.89 = 355.10/x
3. Step 3: Cross multiply
   1,188.05x = 1,781.89 × 355.10
4. Step 4: Simplify right side
   1,188.05x = 632,752.71
5. Step 5: Solve for x
   x = 632,752.71/1,188.05
6. Step 6: Final answer
   x = 532.60