Finding the Fourth Proportional to 2,091.84, 2,886.71 and 1,147.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,091.84 : 2,886.71 = 1,147.64 : x
2. Step 2: Convert to fraction form
   2,091.84/2,886.71 = 1,147.64/x
3. Step 3: Cross multiply
   2,091.84x = 2,886.71 × 1,147.64
4. Step 4: Simplify right side
   2,091.84x = 3,312,892.30
5. Step 5: Solve for x
   x = 3,312,892.30/2,091.84
6. Step 6: Final answer
   x = 1,583.72