Finding the Fourth Proportional to 1,061.07, 1,590.69 and 513.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.07 : 1,590.69 = 513.63 : x
2. Step 2: Convert to fraction form
   1,061.07/1,590.69 = 513.63/x
3. Step 3: Cross multiply
   1,061.07x = 1,590.69 × 513.63
4. Step 4: Simplify right side
   1,061.07x = 817,026.10
5. Step 5: Solve for x
   x = 817,026.10/1,061.07
6. Step 6: Final answer
   x = 770.00