Finding the Fourth Proportional to 1,783.50, 2,461.98 and 1,164.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,783.50 : 2,461.98 = 1,164.30 : x
2. Step 2: Convert to fraction form
   1,783.50/2,461.98 = 1,164.30/x
3. Step 3: Cross multiply
   1,783.50x = 2,461.98 × 1,164.30
4. Step 4: Simplify right side
   1,783.50x = 2,866,483.31
5. Step 5: Solve for x
   x = 2,866,483.31/1,783.50
6. Step 6: Final answer
   x = 1,607.22