Finding the Fourth Proportional to 9,862.50, 13,610.32 and 5,670.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,862.50 : 13,610.32 = 5,670.78 : x
2. Step 2: Convert to fraction form
   9,862.50/13,610.32 = 5,670.78/x
3. Step 3: Cross multiply
   9,862.50x = 13,610.32 × 5,670.78
4. Step 4: Simplify right side
   9,862.50x = 77,181,130.45
5. Step 5: Solve for x
   x = 77,181,130.45/9,862.50
6. Step 6: Final answer
   x = 7,825.72