Finding the Fourth Proportional to 1,316.06, 1,971.37 and 586.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,316.06 : 1,971.37 = 586.15 : x
2. Step 2: Convert to fraction form
   1,316.06/1,971.37 = 586.15/x
3. Step 3: Cross multiply
   1,316.06x = 1,971.37 × 586.15
4. Step 4: Simplify right side
   1,316.06x = 1,155,518.53
5. Step 5: Solve for x
   x = 1,155,518.53/1,316.06
6. Step 6: Final answer
   x = 878.01