Finding the Fourth Proportional to 2,261.90, 3,123.16 and 1,566.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,261.90 : 3,123.16 = 1,566.38 : x
2. Step 2: Convert to fraction form
   2,261.90/3,123.16 = 1,566.38/x
3. Step 3: Cross multiply
   2,261.90x = 3,123.16 × 1,566.38
4. Step 4: Simplify right side
   2,261.90x = 4,892,055.36
5. Step 5: Solve for x
   x = 4,892,055.36/2,261.90
6. Step 6: Final answer
   x = 2,162.81