Finding the Fourth Proportional to 5,770.10, 7,978.30 and 5,032.02

Step by Step Solution

1. Step 1: Write the proportion equation
   5,770.10 : 7,978.30 = 5,032.02 : x
2. Step 2: Convert to fraction form
   5,770.10/7,978.30 = 5,032.02/x
3. Step 3: Cross multiply
   5,770.10x = 7,978.30 × 5,032.02
4. Step 4: Simplify right side
   5,770.10x = 40,146,965.17
5. Step 5: Solve for x
   x = 40,146,965.17/5,770.10
6. Step 6: Final answer
   x = 6,957.76