Finding the Fourth Proportional to 1,019.45, 1,527.96 and 526.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.45 : 1,527.96 = 526.10 : x
2. Step 2: Convert to fraction form
   1,019.45/1,527.96 = 526.10/x
3. Step 3: Cross multiply
   1,019.45x = 1,527.96 × 526.10
4. Step 4: Simplify right side
   1,019.45x = 803,859.76
5. Step 5: Solve for x
   x = 803,859.76/1,019.45
6. Step 6: Final answer
   x = 788.52