Finding the Fourth Proportional to 2,048.50, 2,826.93 and 1,117

Step by Step Solution

1. Step 1: Write the proportion equation
   2,048.50 : 2,826.93 = 1,117 : x
2. Step 2: Convert to fraction form
   2,048.50/2,826.93 = 1,117/x
3. Step 3: Cross multiply
   2,048.50x = 2,826.93 × 1,117
4. Step 4: Simplify right side
   2,048.50x = 3,157,680.81
5. Step 5: Solve for x
   x = 3,157,680.81/2,048.50
6. Step 6: Final answer
   x = 1,541.46