Finding the Fourth Proportional to 1,315.86, 1,973.63 and 585.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,315.86 : 1,973.63 = 585.27 : x
2. Step 2: Convert to fraction form
   1,315.86/1,973.63 = 585.27/x
3. Step 3: Cross multiply
   1,315.86x = 1,973.63 × 585.27
4. Step 4: Simplify right side
   1,315.86x = 1,155,103.50
5. Step 5: Solve for x
   x = 1,155,103.50/1,315.86
6. Step 6: Final answer
   x = 877.83