Finding the Fourth Proportional to 1,175.72, 1,763.22 and 526.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,175.72 : 1,763.22 = 526.10 : x
2. Step 2: Convert to fraction form
   1,175.72/1,763.22 = 526.10/x
3. Step 3: Cross multiply
   1,175.72x = 1,763.22 × 526.10
4. Step 4: Simplify right side
   1,175.72x = 927,630.04
5. Step 5: Solve for x
   x = 927,630.04/1,175.72
6. Step 6: Final answer
   x = 788.99