Finding the Fourth Proportional to 2,090.90, 2,885.50 and 1,146.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,090.90 : 2,885.50 = 1,146.74 : x
2. Step 2: Convert to fraction form
   2,090.90/2,885.50 = 1,146.74/x
3. Step 3: Cross multiply
   2,090.90x = 2,885.50 × 1,146.74
4. Step 4: Simplify right side
   2,090.90x = 3,308,903.84
5. Step 5: Solve for x
   x = 3,308,903.84/2,090.90
6. Step 6: Final answer
   x = 1,582.53