Finding the Fourth Proportional to 1,300.21, 1,948.88 and 520.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.21 : 1,948.88 = 520.02 : x
2. Step 2: Convert to fraction form
   1,300.21/1,948.88 = 520.02/x
3. Step 3: Cross multiply
   1,300.21x = 1,948.88 × 520.02
4. Step 4: Simplify right side
   1,300.21x = 1,013,457.88
5. Step 5: Solve for x
   x = 1,013,457.88/1,300.21
6. Step 6: Final answer
   x = 779.46