Finding the Fourth Proportional to 2,083.60, 2,875.92 and 1,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,083.60 : 2,875.92 = 1,199.50 : x
2. Step 2: Convert to fraction form
   2,083.60/2,875.92 = 1,199.50/x
3. Step 3: Cross multiply
   2,083.60x = 2,875.92 × 1,199.50
4. Step 4: Simplify right side
   2,083.60x = 3,449,666.04
5. Step 5: Solve for x
   x = 3,449,666.04/2,083.60
6. Step 6: Final answer
   x = 1,655.63