Finding the Fourth Proportional to 1,315.61, 1,973.86 and 585.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,315.61 : 1,973.86 = 585.69 : x
2. Step 2: Convert to fraction form
   1,315.61/1,973.86 = 585.69/x
3. Step 3: Cross multiply
   1,315.61x = 1,973.86 × 585.69
4. Step 4: Simplify right side
   1,315.61x = 1,156,068.60
5. Step 5: Solve for x
   x = 1,156,068.60/1,315.61
6. Step 6: Final answer
   x = 878.74