Finding the Fourth Proportional to 1,585.60, 2,185.51 and 1,191.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.60 : 2,185.51 = 1,191.94 : x
2. Step 2: Convert to fraction form
   1,585.60/2,185.51 = 1,191.94/x
3. Step 3: Cross multiply
   1,585.60x = 2,185.51 × 1,191.94
4. Step 4: Simplify right side
   1,585.60x = 2,604,990.83
5. Step 5: Solve for x
   x = 2,604,990.83/1,585.60
6. Step 6: Final answer
   x = 1,642.91