Finding the Fourth Proportional to 1,415.47, 1,953.35 and 826.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.47 : 1,953.35 = 826.01 : x
2. Step 2: Convert to fraction form
   1,415.47/1,953.35 = 826.01/x
3. Step 3: Cross multiply
   1,415.47x = 1,953.35 × 826.01
4. Step 4: Simplify right side
   1,415.47x = 1,613,482.50
5. Step 5: Solve for x
   x = 1,613,482.50/1,415.47
6. Step 6: Final answer
   x = 1,139.89