Finding the Fourth Proportional to 1,199.86, 1,788.02 and 1,160.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,199.86 : 1,788.02 = 1,160.71 : x
2. Step 2: Convert to fraction form
   1,199.86/1,788.02 = 1,160.71/x
3. Step 3: Cross multiply
   1,199.86x = 1,788.02 × 1,160.71
4. Step 4: Simplify right side
   1,199.86x = 2,075,372.69
5. Step 5: Solve for x
   x = 2,075,372.69/1,199.86
6. Step 6: Final answer
   x = 1,729.68