Finding the Fourth Proportional to 1,498.96, 2,068.64 and 826.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,498.96 : 2,068.64 = 826.76 : x
2. Step 2: Convert to fraction form
   1,498.96/2,068.64 = 826.76/x
3. Step 3: Cross multiply
   1,498.96x = 2,068.64 × 826.76
4. Step 4: Simplify right side
   1,498.96x = 1,710,268.81
5. Step 5: Solve for x
   x = 1,710,268.81/1,498.96
6. Step 6: Final answer
   x = 1,140.97