Finding the Fourth Proportional to 1,357.34, 1,873.11 and 826.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,357.34 : 1,873.11 = 826.10 : x
2. Step 2: Convert to fraction form
   1,357.34/1,873.11 = 826.10/x
3. Step 3: Cross multiply
   1,357.34x = 1,873.11 × 826.10
4. Step 4: Simplify right side
   1,357.34x = 1,547,376.17
5. Step 5: Solve for x
   x = 1,547,376.17/1,357.34
6. Step 6: Final answer
   x = 1,140.01