Finding the Fourth Proportional to 2,654.16, 3,984.86 and 1,830.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,654.16 : 3,984.86 = 1,830.40 : x
2. Step 2: Convert to fraction form
   2,654.16/3,984.86 = 1,830.40/x
3. Step 3: Cross multiply
   2,654.16x = 3,984.86 × 1,830.40
4. Step 4: Simplify right side
   2,654.16x = 7,293,887.74
5. Step 5: Solve for x
   x = 7,293,887.74/2,654.16
6. Step 6: Final answer
   x = 2,748.10