Finding the Fourth Proportional to 2,146.50, 3,216.86 and 975.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,146.50 : 3,216.86 = 975.06 : x
2. Step 2: Convert to fraction form
   2,146.50/3,216.86 = 975.06/x
3. Step 3: Cross multiply
   2,146.50x = 3,216.86 × 975.06
4. Step 4: Simplify right side
   2,146.50x = 3,136,631.51
5. Step 5: Solve for x
   x = 3,136,631.51/2,146.50
6. Step 6: Final answer
   x = 1,461.28